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Finding the Fourth Proportional to 497,475.60, 746,319.65 and 160,535.40

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Solution

The fourth proportional to 497,475.60, 746,319.65 and 160,535.40 is: 240,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,475.60 : 746,319.65 = 160,535.40 : x
  2. Step 2: Convert to fraction form
    497,475.60/746,319.65 = 160,535.40/x
  3. Step 3: Cross multiply
    497,475.60x = 746,319.65 × 160,535.40
  4. Step 4: Simplify right side
    497,475.60x = 119,810,722,737.93
  5. Step 5: Solve for x
    x = 119,810,722,737.93/497,475.60
  6. Step 6: Final answer
    x = 240,837.39

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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.