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Finding the Fourth Proportional to 438,053.80, 656,716.20 and 185,528.20

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Solution

The fourth proportional to 438,053.80, 656,716.20 and 185,528.20 is: 278,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,053.80 : 656,716.20 = 185,528.20 : x
  2. Step 2: Convert to fraction form
    438,053.80/656,716.20 = 185,528.20/x
  3. Step 3: Cross multiply
    438,053.80x = 656,716.20 × 185,528.20
  4. Step 4: Simplify right side
    438,053.80x = 121,839,374,496.84
  5. Step 5: Solve for x
    x = 121,839,374,496.84/438,053.80
  6. Step 6: Final answer
    x = 278,137.92

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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.