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Finding the Fourth Proportional to 408,064.80, 612,097.20 and 158,584.80

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Solution

The fourth proportional to 408,064.80, 612,097.20 and 158,584.80 is: 237,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064.80 : 612,097.20 = 158,584.80 : x
  2. Step 2: Convert to fraction form
    408,064.80/612,097.20 = 158,584.80/x
  3. Step 3: Cross multiply
    408,064.80x = 612,097.20 × 158,584.80
  4. Step 4: Simplify right side
    408,064.80x = 97,069,312,042.56
  5. Step 5: Solve for x
    x = 97,069,312,042.56/408,064.80
  6. Step 6: Final answer
    x = 237,877.20

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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.