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Finding the Fourth Proportional to 497,454.32, 746,339.21 and 177,599.31

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Solution

The fourth proportional to 497,454.32, 746,339.21 and 177,599.31 is: 266,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,454.32 : 746,339.21 = 177,599.31 : x
  2. Step 2: Convert to fraction form
    497,454.32/746,339.21 = 177,599.31/x
  3. Step 3: Cross multiply
    497,454.32x = 746,339.21 × 177,599.31
  4. Step 4: Simplify right side
    497,454.32x = 132,549,327,833.95
  5. Step 5: Solve for x
    x = 132,549,327,833.95/497,454.32
  6. Step 6: Final answer
    x = 266,455.28

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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.