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Finding the Fourth Proportional to 497,480.96, 746,441.28 and 260,767.04

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Solution

The fourth proportional to 497,480.96, 746,441.28 and 260,767.04 is: 391,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,480.96 : 746,441.28 = 260,767.04 : x
  2. Step 2: Convert to fraction form
    497,480.96/746,441.28 = 260,767.04/x
  3. Step 3: Cross multiply
    497,480.96x = 746,441.28 × 260,767.04
  4. Step 4: Simplify right side
    497,480.96x = 194,647,283,119.41
  5. Step 5: Solve for x
    x = 194,647,283,119.41/497,480.96
  6. Step 6: Final answer
    x = 391,265.79

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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.