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Finding the Fourth Proportional to 462,589.79, 693,877.39 and 147,042.14

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Solution

The fourth proportional to 462,589.79, 693,877.39 and 147,042.14 is: 220,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,589.79 : 693,877.39 = 147,042.14 : x
  2. Step 2: Convert to fraction form
    462,589.79/693,877.39 = 147,042.14/x
  3. Step 3: Cross multiply
    462,589.79x = 693,877.39 × 147,042.14
  4. Step 4: Simplify right side
    462,589.79x = 102,029,212,486.22
  5. Step 5: Solve for x
    x = 102,029,212,486.22/462,589.79
  6. Step 6: Final answer
    x = 220,560.89

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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.