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Finding the Fourth Proportional to 474,275.52, 711,414.50 and 193,792.77

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Solution

The fourth proportional to 474,275.52, 711,414.50 and 193,792.77 is: 290,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,275.52 : 711,414.50 = 193,792.77 : x
  2. Step 2: Convert to fraction form
    474,275.52/711,414.50 = 193,792.77/x
  3. Step 3: Cross multiply
    474,275.52x = 711,414.50 × 193,792.77
  4. Step 4: Simplify right side
    474,275.52x = 137,866,985,604.20
  5. Step 5: Solve for x
    x = 137,866,985,604.20/474,275.52
  6. Step 6: Final answer
    x = 290,689.65

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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.