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Finding the Fourth Proportional to 668,034.90, 999,719.55 and 467,414.10

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Solution

The fourth proportional to 668,034.90, 999,719.55 and 467,414.10 is: 699,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,034.90 : 999,719.55 = 467,414.10 : x
  2. Step 2: Convert to fraction form
    668,034.90/999,719.55 = 467,414.10/x
  3. Step 3: Cross multiply
    668,034.90x = 999,719.55 × 467,414.10
  4. Step 4: Simplify right side
    668,034.90x = 467,283,013,715.66
  5. Step 5: Solve for x
    x = 467,283,013,715.66/668,034.90
  6. Step 6: Final answer
    x = 699,488.92

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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.