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Finding the Fourth Proportional to 482,871.80, 724,304.10 and 145,911.80

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Solution

The fourth proportional to 482,871.80, 724,304.10 and 145,911.80 is: 218,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,871.80 : 724,304.10 = 145,911.80 : x
  2. Step 2: Convert to fraction form
    482,871.80/724,304.10 = 145,911.80/x
  3. Step 3: Cross multiply
    482,871.80x = 724,304.10 × 145,911.80
  4. Step 4: Simplify right side
    482,871.80x = 105,684,514,978.38
  5. Step 5: Solve for x
    x = 105,684,514,978.38/482,871.80
  6. Step 6: Final answer
    x = 218,866.61

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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.