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Finding the Fourth Proportional to 656,402.60, 984,552.70 and 256,965.80

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Solution

The fourth proportional to 656,402.60, 984,552.70 and 256,965.80 is: 385,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,402.60 : 984,552.70 = 256,965.80 : x
  2. Step 2: Convert to fraction form
    656,402.60/984,552.70 = 256,965.80/x
  3. Step 3: Cross multiply
    656,402.60x = 984,552.70 × 256,965.80
  4. Step 4: Simplify right side
    656,402.60x = 252,996,372,197.66
  5. Step 5: Solve for x
    x = 252,996,372,197.66/656,402.60
  6. Step 6: Final answer
    x = 385,428.66

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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.