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Finding the Fourth Proportional to 474,442.92, 654,747.56 and 259,583

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Solution

The fourth proportional to 474,442.92, 654,747.56 and 259,583 is: 358,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,442.92 : 654,747.56 = 259,583 : x
  2. Step 2: Convert to fraction form
    474,442.92/654,747.56 = 259,583/x
  3. Step 3: Cross multiply
    474,442.92x = 654,747.56 × 259,583
  4. Step 4: Simplify right side
    474,442.92x = 169,961,335,867.48
  5. Step 5: Solve for x
    x = 169,961,335,867.48/474,442.92
  6. Step 6: Final answer
    x = 358,233.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.