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Finding the Fourth Proportional to 482,265.72, 723,150.70 and 282,978.98

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Solution

The fourth proportional to 482,265.72, 723,150.70 and 282,978.98 is: 424,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,265.72 : 723,150.70 = 282,978.98 : x
  2. Step 2: Convert to fraction form
    482,265.72/723,150.70 = 282,978.98/x
  3. Step 3: Cross multiply
    482,265.72x = 723,150.70 × 282,978.98
  4. Step 4: Simplify right side
    482,265.72x = 204,636,447,472.29
  5. Step 5: Solve for x
    x = 204,636,447,472.29/482,265.72
  6. Step 6: Final answer
    x = 424,323.02

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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.