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Finding the Fourth Proportional to 469,314.76, 703,909.56 and 132,382.48

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Solution

The fourth proportional to 469,314.76, 703,909.56 and 132,382.48 is: 198,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,314.76 : 703,909.56 = 132,382.48 : x
  2. Step 2: Convert to fraction form
    469,314.76/703,909.56 = 132,382.48/x
  3. Step 3: Cross multiply
    469,314.76x = 703,909.56 × 132,382.48
  4. Step 4: Simplify right side
    469,314.76x = 93,185,293,248.51
  5. Step 5: Solve for x
    x = 93,185,293,248.51/469,314.76
  6. Step 6: Final answer
    x = 198,556.07

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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.