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Finding the Fourth Proportional to 497,132.94, 745,796.88 and 197,557.68

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Solution

The fourth proportional to 497,132.94, 745,796.88 and 197,557.68 is: 296,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,132.94 : 745,796.88 = 197,557.68 : x
  2. Step 2: Convert to fraction form
    497,132.94/745,796.88 = 197,557.68/x
  3. Step 3: Cross multiply
    497,132.94x = 745,796.88 × 197,557.68
  4. Step 4: Simplify right side
    497,132.94x = 147,337,901,364.04
  5. Step 5: Solve for x
    x = 147,337,901,364.04/497,132.94
  6. Step 6: Final answer
    x = 296,375.25

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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.