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Finding the Fourth Proportional to 334,641.88, 502,028.10 and 97,988.44

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Solution

The fourth proportional to 334,641.88, 502,028.10 and 97,988.44 is: 147,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,641.88 : 502,028.10 = 97,988.44 : x
  2. Step 2: Convert to fraction form
    334,641.88/502,028.10 = 97,988.44/x
  3. Step 3: Cross multiply
    334,641.88x = 502,028.10 × 97,988.44
  4. Step 4: Simplify right side
    334,641.88x = 49,192,950,355.16
  5. Step 5: Solve for x
    x = 49,192,950,355.16/334,641.88
  6. Step 6: Final answer
    x = 147,001.78

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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.