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Finding the Fourth Proportional to 472,095.83, 708,353.03 and 247,402.85

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Solution

The fourth proportional to 472,095.83, 708,353.03 and 247,402.85 is: 371,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,095.83 : 708,353.03 = 247,402.85 : x
  2. Step 2: Convert to fraction form
    472,095.83/708,353.03 = 247,402.85/x
  3. Step 3: Cross multiply
    472,095.83x = 708,353.03 × 247,402.85
  4. Step 4: Simplify right side
    472,095.83x = 175,248,553,649.36
  5. Step 5: Solve for x
    x = 175,248,553,649.36/472,095.83
  6. Step 6: Final answer
    x = 371,213.95

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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.