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Finding the Fourth Proportional to 590,975.20, 829,464.80 and 590,975.20

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Solution

The fourth proportional to 590,975.20, 829,464.80 and 590,975.20 is: 829,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,975.20 : 829,464.80 = 590,975.20 : x
  2. Step 2: Convert to fraction form
    590,975.20/829,464.80 = 590,975.20/x
  3. Step 3: Cross multiply
    590,975.20x = 829,464.80 × 590,975.20
  4. Step 4: Simplify right side
    590,975.20x = 490,193,126,072.96
  5. Step 5: Solve for x
    x = 490,193,126,072.96/590,975.20
  6. Step 6: Final answer
    x = 829,464.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.