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Finding the Fourth Proportional to 472,084.76, 708,336.43 and 247,391.78

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Solution

The fourth proportional to 472,084.76, 708,336.43 and 247,391.78 is: 371,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,084.76 : 708,336.43 = 247,391.78 : x
  2. Step 2: Convert to fraction form
    472,084.76/708,336.43 = 247,391.78/x
  3. Step 3: Cross multiply
    472,084.76x = 708,336.43 × 247,391.78
  4. Step 4: Simplify right side
    472,084.76x = 175,236,606,096.38
  5. Step 5: Solve for x
    x = 175,236,606,096.38/472,084.76
  6. Step 6: Final answer
    x = 371,197.34

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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.