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Finding the Fourth Proportional to 514,006.56, 709,266.42 and 284,546.52

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Solution

The fourth proportional to 514,006.56, 709,266.42 and 284,546.52 is: 392,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,006.56 : 709,266.42 = 284,546.52 : x
  2. Step 2: Convert to fraction form
    514,006.56/709,266.42 = 284,546.52/x
  3. Step 3: Cross multiply
    514,006.56x = 709,266.42 × 284,546.52
  4. Step 4: Simplify right side
    514,006.56x = 201,819,291,563.86
  5. Step 5: Solve for x
    x = 201,819,291,563.86/514,006.56
  6. Step 6: Final answer
    x = 392,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.