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Finding the Fourth Proportional to 467,275.92, 700,972.17 and 182,929.74

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Solution

The fourth proportional to 467,275.92, 700,972.17 and 182,929.74 is: 274,417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,275.92 : 700,972.17 = 182,929.74 : x
  2. Step 2: Convert to fraction form
    467,275.92/700,972.17 = 182,929.74/x
  3. Step 3: Cross multiply
    467,275.92x = 700,972.17 × 182,929.74
  4. Step 4: Simplify right side
    467,275.92x = 128,228,656,805.34
  5. Step 5: Solve for x
    x = 128,228,656,805.34/467,275.92
  6. Step 6: Final answer
    x = 274,417.43

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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.