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Finding the Fourth Proportional to 524,114.40, 786,171.60 and 398,143.20

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Solution

The fourth proportional to 524,114.40, 786,171.60 and 398,143.20 is: 597,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,114.40 : 786,171.60 = 398,143.20 : x
  2. Step 2: Convert to fraction form
    524,114.40/786,171.60 = 398,143.20/x
  3. Step 3: Cross multiply
    524,114.40x = 786,171.60 × 398,143.20
  4. Step 4: Simplify right side
    524,114.40x = 313,008,876,573.12
  5. Step 5: Solve for x
    x = 313,008,876,573.12/524,114.40
  6. Step 6: Final answer
    x = 597,214.80

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.