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Finding the Fourth Proportional to 564,891.48, 847,336.50 and 144,167.36

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Solution

The fourth proportional to 564,891.48, 847,336.50 and 144,167.36 is: 216,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,891.48 : 847,336.50 = 144,167.36 : x
  2. Step 2: Convert to fraction form
    564,891.48/847,336.50 = 144,167.36/x
  3. Step 3: Cross multiply
    564,891.48x = 847,336.50 × 144,167.36
  4. Step 4: Simplify right side
    564,891.48x = 122,158,266,236.64
  5. Step 5: Solve for x
    x = 122,158,266,236.64/564,891.48
  6. Step 6: Final answer
    x = 216,250.86

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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.