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Finding the Fourth Proportional to 466,094.20, 699,314.10 and 185,812.60

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Solution

The fourth proportional to 466,094.20, 699,314.10 and 185,812.60 is: 278,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,094.20 : 699,314.10 = 185,812.60 : x
  2. Step 2: Convert to fraction form
    466,094.20/699,314.10 = 185,812.60/x
  3. Step 3: Cross multiply
    466,094.20x = 699,314.10 × 185,812.60
  4. Step 4: Simplify right side
    466,094.20x = 129,941,371,137.66
  5. Step 5: Solve for x
    x = 129,941,371,137.66/466,094.20
  6. Step 6: Final answer
    x = 278,787.79

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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.