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Finding the Fourth Proportional to 407,719.40, 611,190.30 and 317,712.20

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Solution

The fourth proportional to 407,719.40, 611,190.30 and 317,712.20 is: 476,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,719.40 : 611,190.30 = 317,712.20 : x
  2. Step 2: Convert to fraction form
    407,719.40/611,190.30 = 317,712.20/x
  3. Step 3: Cross multiply
    407,719.40x = 611,190.30 × 317,712.20
  4. Step 4: Simplify right side
    407,719.40x = 194,182,614,831.66
  5. Step 5: Solve for x
    x = 194,182,614,831.66/407,719.40
  6. Step 6: Final answer
    x = 476,265.33

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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.