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Finding the Fourth Proportional to 535,147.92, 738,495.54 and 293,432.52

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Solution

The fourth proportional to 535,147.92, 738,495.54 and 293,432.52 is: 404,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,147.92 : 738,495.54 = 293,432.52 : x
  2. Step 2: Convert to fraction form
    535,147.92/738,495.54 = 293,432.52/x
  3. Step 3: Cross multiply
    535,147.92x = 738,495.54 × 293,432.52
  4. Step 4: Simplify right side
    535,147.92x = 216,698,607,310.96
  5. Step 5: Solve for x
    x = 216,698,607,310.96/535,147.92
  6. Step 6: Final answer
    x = 404,932.17

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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.