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Finding the Fourth Proportional to 564,264.67, 846,387.20 and 227,296.70

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Solution

The fourth proportional to 564,264.67, 846,387.20 and 227,296.70 is: 340,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,264.67 : 846,387.20 = 227,296.70 : x
  2. Step 2: Convert to fraction form
    564,264.67/846,387.20 = 227,296.70/x
  3. Step 3: Cross multiply
    564,264.67x = 846,387.20 × 227,296.70
  4. Step 4: Simplify right side
    564,264.67x = 192,381,019,803.83
  5. Step 5: Solve for x
    x = 192,381,019,803.83/564,264.67
  6. Step 6: Final answer
    x = 340,941.11

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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.