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Finding the Fourth Proportional to 472,510.80, 708,766.20 and 269,898.92

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Solution

The fourth proportional to 472,510.80, 708,766.20 and 269,898.92 is: 404,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,510.80 : 708,766.20 = 269,898.92 : x
  2. Step 2: Convert to fraction form
    472,510.80/708,766.20 = 269,898.92/x
  3. Step 3: Cross multiply
    472,510.80x = 708,766.20 × 269,898.92
  4. Step 4: Simplify right side
    472,510.80x = 191,295,231,026.55
  5. Step 5: Solve for x
    x = 191,295,231,026.55/472,510.80
  6. Step 6: Final answer
    x = 404,848.38

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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.