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Finding the Fourth Proportional to 470,399.40, 705,599.10 and 283,314.60

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Solution

The fourth proportional to 470,399.40, 705,599.10 and 283,314.60 is: 424,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,399.40 : 705,599.10 = 283,314.60 : x
  2. Step 2: Convert to fraction form
    470,399.40/705,599.10 = 283,314.60/x
  3. Step 3: Cross multiply
    470,399.40x = 705,599.10 × 283,314.60
  4. Step 4: Simplify right side
    470,399.40x = 199,906,526,776.86
  5. Step 5: Solve for x
    x = 199,906,526,776.86/470,399.40
  6. Step 6: Final answer
    x = 424,971.90

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Similar ratio
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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.