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Finding the Fourth Proportional to 407,634.40, 611,451.60 and 127,151.20

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Solution

The fourth proportional to 407,634.40, 611,451.60 and 127,151.20 is: 190,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,634.40 : 611,451.60 = 127,151.20 : x
  2. Step 2: Convert to fraction form
    407,634.40/611,451.60 = 127,151.20/x
  3. Step 3: Cross multiply
    407,634.40x = 611,451.60 × 127,151.20
  4. Step 4: Simplify right side
    407,634.40x = 77,746,804,681.92
  5. Step 5: Solve for x
    x = 77,746,804,681.92/407,634.40
  6. Step 6: Final answer
    x = 190,726.80

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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.