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Finding the Fourth Proportional to 308,245.80, 462,276.54 and 160,421.16

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Solution

The fourth proportional to 308,245.80, 462,276.54 and 160,421.16 is: 240,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,245.80 : 462,276.54 = 160,421.16 : x
  2. Step 2: Convert to fraction form
    308,245.80/462,276.54 = 160,421.16/x
  3. Step 3: Cross multiply
    308,245.80x = 462,276.54 × 160,421.16
  4. Step 4: Simplify right side
    308,245.80x = 74,158,938,787.59
  5. Step 5: Solve for x
    x = 74,158,938,787.59/308,245.80
  6. Step 6: Final answer
    x = 240,583.78

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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.