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Finding the Fourth Proportional to 564,690.88, 847,121.37 and 165,281.50

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Solution

The fourth proportional to 564,690.88, 847,121.37 and 165,281.50 is: 247,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,690.88 : 847,121.37 = 165,281.50 : x
  2. Step 2: Convert to fraction form
    564,690.88/847,121.37 = 165,281.50/x
  3. Step 3: Cross multiply
    564,690.88x = 847,121.37 × 165,281.50
  4. Step 4: Simplify right side
    564,690.88x = 140,013,490,715.66
  5. Step 5: Solve for x
    x = 140,013,490,715.66/564,690.88
  6. Step 6: Final answer
    x = 247,947.14

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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.