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Finding the Fourth Proportional to 482,724.80, 724,083.60 and 145,764.80

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Solution

The fourth proportional to 482,724.80, 724,083.60 and 145,764.80 is: 218,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,724.80 : 724,083.60 = 145,764.80 : x
  2. Step 2: Convert to fraction form
    482,724.80/724,083.60 = 145,764.80/x
  3. Step 3: Cross multiply
    482,724.80x = 724,083.60 × 145,764.80
  4. Step 4: Simplify right side
    482,724.80x = 105,545,901,137.28
  5. Step 5: Solve for x
    x = 105,545,901,137.28/482,724.80
  6. Step 6: Final answer
    x = 218,646.11

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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.