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Finding the Fourth Proportional to 462,755.84, 694,158.08 and 130,357.76

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Solution

The fourth proportional to 462,755.84, 694,158.08 and 130,357.76 is: 195,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,755.84 : 694,158.08 = 130,357.76 : x
  2. Step 2: Convert to fraction form
    462,755.84/694,158.08 = 130,357.76/x
  3. Step 3: Cross multiply
    462,755.84x = 694,158.08 × 130,357.76
  4. Step 4: Simplify right side
    462,755.84x = 90,488,892,394.70
  5. Step 5: Solve for x
    x = 90,488,892,394.70/462,755.84
  6. Step 6: Final answer
    x = 195,543.49

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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.