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Finding the Fourth Proportional to 727,472.38, 1,003,872 and 400,721.35

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Solution

The fourth proportional to 727,472.38, 1,003,872 and 400,721.35 is: 552,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,472.38 : 1,003,872 = 400,721.35 : x
  2. Step 2: Convert to fraction form
    727,472.38/1,003,872 = 400,721.35/x
  3. Step 3: Cross multiply
    727,472.38x = 1,003,872 × 400,721.35
  4. Step 4: Simplify right side
    727,472.38x = 402,272,943,067.20
  5. Step 5: Solve for x
    x = 402,272,943,067.20/727,472.38
  6. Step 6: Final answer
    x = 552,973.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.