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Finding the Fourth Proportional to 466,172.80, 698,798.40 and 185,315.20

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Solution

The fourth proportional to 466,172.80, 698,798.40 and 185,315.20 is: 277,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,172.80 : 698,798.40 = 185,315.20 : x
  2. Step 2: Convert to fraction form
    466,172.80/698,798.40 = 185,315.20/x
  3. Step 3: Cross multiply
    466,172.80x = 698,798.40 × 185,315.20
  4. Step 4: Simplify right side
    466,172.80x = 129,497,965,255.68
  5. Step 5: Solve for x
    x = 129,497,965,255.68/466,172.80
  6. Step 6: Final answer
    x = 277,789.62

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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.