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Finding the Fourth Proportional to 429,963.66, 644,943.47 and 110,114.91

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Solution

The fourth proportional to 429,963.66, 644,943.47 and 110,114.91 is: 165,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,963.66 : 644,943.47 = 110,114.91 : x
  2. Step 2: Convert to fraction form
    429,963.66/644,943.47 = 110,114.91/x
  3. Step 3: Cross multiply
    429,963.66x = 644,943.47 × 110,114.91
  4. Step 4: Simplify right side
    429,963.66x = 71,017,891,603.56
  5. Step 5: Solve for x
    x = 71,017,891,603.56/429,963.66
  6. Step 6: Final answer
    x = 165,171.85

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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.