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Finding the Fourth Proportional to 410,013.48, 615,020.16 and 125,704.80

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Solution

The fourth proportional to 410,013.48, 615,020.16 and 125,704.80 is: 188,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,013.48 : 615,020.16 = 125,704.80 : x
  2. Step 2: Convert to fraction form
    410,013.48/615,020.16 = 125,704.80/x
  3. Step 3: Cross multiply
    410,013.48x = 615,020.16 × 125,704.80
  4. Step 4: Simplify right side
    410,013.48x = 77,310,986,208.77
  5. Step 5: Solve for x
    x = 77,310,986,208.77/410,013.48
  6. Step 6: Final answer
    x = 188,557.18

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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.