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Finding the Fourth Proportional to 482,654.40, 724,154.40 and 202,257.60

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Solution

The fourth proportional to 482,654.40, 724,154.40 and 202,257.60 is: 303,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,654.40 : 724,154.40 = 202,257.60 : x
  2. Step 2: Convert to fraction form
    482,654.40/724,154.40 = 202,257.60/x
  3. Step 3: Cross multiply
    482,654.40x = 724,154.40 × 202,257.60
  4. Step 4: Simplify right side
    482,654.40x = 146,465,730,973.44
  5. Step 5: Solve for x
    x = 146,465,730,973.44/482,654.40
  6. Step 6: Final answer
    x = 303,458.81

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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.