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Finding the Fourth Proportional to 308,577.60, 462,902.40 and 98,236.80

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Solution

The fourth proportional to 308,577.60, 462,902.40 and 98,236.80 is: 147,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,577.60 : 462,902.40 = 98,236.80 : x
  2. Step 2: Convert to fraction form
    308,577.60/462,902.40 = 98,236.80/x
  3. Step 3: Cross multiply
    308,577.60x = 462,902.40 × 98,236.80
  4. Step 4: Simplify right side
    308,577.60x = 45,474,050,488.32
  5. Step 5: Solve for x
    x = 45,474,050,488.32/308,577.60
  6. Step 6: Final answer
    x = 147,366.66

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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.