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Finding the Fourth Proportional to 407,726.40, 611,200.80 and 317,719.20

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Solution

The fourth proportional to 407,726.40, 611,200.80 and 317,719.20 is: 476,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,726.40 : 611,200.80 = 317,719.20 : x
  2. Step 2: Convert to fraction form
    407,726.40/611,200.80 = 317,719.20/x
  3. Step 3: Cross multiply
    407,726.40x = 611,200.80 × 317,719.20
  4. Step 4: Simplify right side
    407,726.40x = 194,190,229,215.36
  5. Step 5: Solve for x
    x = 194,190,229,215.36/407,726.40
  6. Step 6: Final answer
    x = 476,275.83

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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.