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Finding the Fourth Proportional to 410,071.80, 615,050.10 and 129,617.40

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Solution

The fourth proportional to 410,071.80, 615,050.10 and 129,617.40 is: 194,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,071.80 : 615,050.10 = 129,617.40 : x
  2. Step 2: Convert to fraction form
    410,071.80/615,050.10 = 129,617.40/x
  3. Step 3: Cross multiply
    410,071.80x = 615,050.10 × 129,617.40
  4. Step 4: Simplify right side
    410,071.80x = 79,721,194,831.74
  5. Step 5: Solve for x
    x = 79,721,194,831.74/410,071.80
  6. Step 6: Final answer
    x = 194,407.89

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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.