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Finding the Fourth Proportional to 564,902.98, 847,353.76 and 144,178.85

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Solution

The fourth proportional to 564,902.98, 847,353.76 and 144,178.85 is: 216,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,902.98 : 847,353.76 = 144,178.85 : x
  2. Step 2: Convert to fraction form
    564,902.98/847,353.76 = 144,178.85/x
  3. Step 3: Cross multiply
    564,902.98x = 847,353.76 × 144,178.85
  4. Step 4: Simplify right side
    564,902.98x = 122,170,492,417.91
  5. Step 5: Solve for x
    x = 122,170,492,417.91/564,902.98
  6. Step 6: Final answer
    x = 216,268.10

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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.