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Finding the Fourth Proportional to 498,729.60, 688,237.56 and 280,938.96

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Solution

The fourth proportional to 498,729.60, 688,237.56 and 280,938.96 is: 387,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.60 : 688,237.56 = 280,938.96 : x
  2. Step 2: Convert to fraction form
    498,729.60/688,237.56 = 280,938.96/x
  3. Step 3: Cross multiply
    498,729.60x = 688,237.56 × 280,938.96
  4. Step 4: Simplify right side
    498,729.60x = 193,352,744,339.34
  5. Step 5: Solve for x
    x = 193,352,744,339.34/498,729.60
  6. Step 6: Final answer
    x = 387,690.53

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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.