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Finding the Fourth Proportional to 524,213.30, 785,153.55 and 430,901.30

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Solution

The fourth proportional to 524,213.30, 785,153.55 and 430,901.30 is: 645,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,213.30 : 785,153.55 = 430,901.30 : x
  2. Step 2: Convert to fraction form
    524,213.30/785,153.55 = 430,901.30/x
  3. Step 3: Cross multiply
    524,213.30x = 785,153.55 × 430,901.30
  4. Step 4: Simplify right side
    524,213.30x = 338,323,685,394.62
  5. Step 5: Solve for x
    x = 338,323,685,394.62/524,213.30
  6. Step 6: Final answer
    x = 645,393.17

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