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Finding the Fourth Proportional to 466,328.80, 698,974.80 and 256,117.60

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Solution

The fourth proportional to 466,328.80, 698,974.80 and 256,117.60 is: 383,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,328.80 : 698,974.80 = 256,117.60 : x
  2. Step 2: Convert to fraction form
    466,328.80/698,974.80 = 256,117.60/x
  3. Step 3: Cross multiply
    466,328.80x = 698,974.80 × 256,117.60
  4. Step 4: Simplify right side
    466,328.80x = 179,019,748,236.48
  5. Step 5: Solve for x
    x = 179,019,748,236.48/466,328.80
  6. Step 6: Final answer
    x = 383,891.68

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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.