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Finding the Fourth Proportional to 472,192.78, 708,498.23 and 247,499.80

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Solution

The fourth proportional to 472,192.78, 708,498.23 and 247,499.80 is: 371,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,192.78 : 708,498.23 = 247,499.80 : x
  2. Step 2: Convert to fraction form
    472,192.78/708,498.23 = 247,499.80/x
  3. Step 3: Cross multiply
    472,192.78x = 708,498.23 × 247,499.80
  4. Step 4: Simplify right side
    472,192.78x = 175,353,170,225.35
  5. Step 5: Solve for x
    x = 175,353,170,225.35/472,192.78
  6. Step 6: Final answer
    x = 371,359.28

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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.