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Finding the Fourth Proportional to 497,132.44, 745,796.13 and 197,557.18

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Solution

The fourth proportional to 497,132.44, 745,796.13 and 197,557.18 is: 296,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,132.44 : 745,796.13 = 197,557.18 : x
  2. Step 2: Convert to fraction form
    497,132.44/745,796.13 = 197,557.18/x
  3. Step 3: Cross multiply
    497,132.44x = 745,796.13 × 197,557.18
  4. Step 4: Simplify right side
    497,132.44x = 147,337,380,297.71
  5. Step 5: Solve for x
    x = 147,337,380,297.71/497,132.44
  6. Step 6: Final answer
    x = 296,374.50

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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.