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Finding the Fourth Proportional to 564,910, 847,364.24 and 144,185.92

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Solution

The fourth proportional to 564,910, 847,364.24 and 144,185.92 is: 216,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,910 : 847,364.24 = 144,185.92 : x
  2. Step 2: Convert to fraction form
    564,910/847,364.24 = 144,185.92/x
  3. Step 3: Cross multiply
    564,910x = 847,364.24 × 144,185.92
  4. Step 4: Simplify right side
    564,910x = 122,177,992,519.50
  5. Step 5: Solve for x
    x = 122,177,992,519.50/564,910
  6. Step 6: Final answer
    x = 216,278.69

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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.