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Finding the Fourth Proportional to 410,096.40, 615,233.76 and 125,788.08

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Solution

The fourth proportional to 410,096.40, 615,233.76 and 125,788.08 is: 188,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,096.40 : 615,233.76 = 125,788.08 : x
  2. Step 2: Convert to fraction form
    410,096.40/615,233.76 = 125,788.08/x
  3. Step 3: Cross multiply
    410,096.40x = 615,233.76 × 125,788.08
  4. Step 4: Simplify right side
    410,096.40x = 77,389,073,421.58
  5. Step 5: Solve for x
    x = 77,389,073,421.58/410,096.40
  6. Step 6: Final answer
    x = 188,709.47

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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.