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Finding the Fourth Proportional to 472,076.64, 707,844.96 and 219,227.04

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Solution

The fourth proportional to 472,076.64, 707,844.96 and 219,227.04 is: 328,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,076.64 : 707,844.96 = 219,227.04 : x
  2. Step 2: Convert to fraction form
    472,076.64/707,844.96 = 219,227.04/x
  3. Step 3: Cross multiply
    472,076.64x = 707,844.96 × 219,227.04
  4. Step 4: Simplify right side
    472,076.64x = 155,178,755,359.72
  5. Step 5: Solve for x
    x = 155,178,755,359.72/472,076.64
  6. Step 6: Final answer
    x = 328,715.18

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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.