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Finding the Fourth Proportional to 429,967.16, 644,948.71 and 110,118.42

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Solution

The fourth proportional to 429,967.16, 644,948.71 and 110,118.42 is: 165,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,967.16 : 644,948.71 = 110,118.42 : x
  2. Step 2: Convert to fraction form
    429,967.16/644,948.71 = 110,118.42/x
  3. Step 3: Cross multiply
    429,967.16x = 644,948.71 × 110,118.42
  4. Step 4: Simplify right side
    429,967.16x = 71,020,732,926.24
  5. Step 5: Solve for x
    x = 71,020,732,926.24/429,967.16
  6. Step 6: Final answer
    x = 165,177.11

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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.