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Finding the Fourth Proportional to 564,881.97, 847,322.25 and 144,157.86

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Solution

The fourth proportional to 564,881.97, 847,322.25 and 144,157.86 is: 216,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,881.97 : 847,322.25 = 144,157.86 : x
  2. Step 2: Convert to fraction form
    564,881.97/847,322.25 = 144,157.86/x
  3. Step 3: Cross multiply
    564,881.97x = 847,322.25 × 144,157.86
  4. Step 4: Simplify right side
    564,881.97x = 122,148,162,290.39
  5. Step 5: Solve for x
    x = 122,148,162,290.39/564,881.97
  6. Step 6: Final answer
    x = 216,236.61

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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.