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Finding the Fourth Proportional to 310,902.60, 466,353.90 and 100,561.80

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Solution

The fourth proportional to 310,902.60, 466,353.90 and 100,561.80 is: 150,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902.60 : 466,353.90 = 100,561.80 : x
  2. Step 2: Convert to fraction form
    310,902.60/466,353.90 = 100,561.80/x
  3. Step 3: Cross multiply
    310,902.60x = 466,353.90 × 100,561.80
  4. Step 4: Simplify right side
    310,902.60x = 46,897,387,621.02
  5. Step 5: Solve for x
    x = 46,897,387,621.02/310,902.60
  6. Step 6: Final answer
    x = 150,842.70

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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.