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Finding the Fourth Proportional to 564,191.88, 846,291.06 and 227,387.40

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Solution

The fourth proportional to 564,191.88, 846,291.06 and 227,387.40 is: 341,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,191.88 : 846,291.06 = 227,387.40 : x
  2. Step 2: Convert to fraction form
    564,191.88/846,291.06 = 227,387.40/x
  3. Step 3: Cross multiply
    564,191.88x = 846,291.06 × 227,387.40
  4. Step 4: Simplify right side
    564,191.88x = 192,435,923,776.64
  5. Step 5: Solve for x
    x = 192,435,923,776.64/564,191.88
  6. Step 6: Final answer
    x = 341,082.41

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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.