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Finding the Fourth Proportional to 497,662.80, 746,494.20 and 438,565.20

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Solution

The fourth proportional to 497,662.80, 746,494.20 and 438,565.20 is: 657,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,662.80 : 746,494.20 = 438,565.20 : x
  2. Step 2: Convert to fraction form
    497,662.80/746,494.20 = 438,565.20/x
  3. Step 3: Cross multiply
    497,662.80x = 746,494.20 × 438,565.20
  4. Step 4: Simplify right side
    497,662.80x = 327,386,378,121.84
  5. Step 5: Solve for x
    x = 327,386,378,121.84/497,662.80
  6. Step 6: Final answer
    x = 657,847.80

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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.