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Finding the Fourth Proportional to 410,527.68, 615,321.72 and 185,548.56

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Solution

The fourth proportional to 410,527.68, 615,321.72 and 185,548.56 is: 278,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,527.68 : 615,321.72 = 185,548.56 : x
  2. Step 2: Convert to fraction form
    410,527.68/615,321.72 = 185,548.56/x
  3. Step 3: Cross multiply
    410,527.68x = 615,321.72 × 185,548.56
  4. Step 4: Simplify right side
    410,527.68x = 114,172,059,082.72
  5. Step 5: Solve for x
    x = 114,172,059,082.72/410,527.68
  6. Step 6: Final answer
    x = 278,110.50

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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.