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Finding the Fourth Proportional to 564,877.20, 847,315.20 and 144,153.04

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Solution

The fourth proportional to 564,877.20, 847,315.20 and 144,153.04 is: 216,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,877.20 : 847,315.20 = 144,153.04 : x
  2. Step 2: Convert to fraction form
    564,877.20/847,315.20 = 144,153.04/x
  3. Step 3: Cross multiply
    564,877.20x = 847,315.20 × 144,153.04
  4. Step 4: Simplify right side
    564,877.20x = 122,143,061,918.21
  5. Step 5: Solve for x
    x = 122,143,061,918.21/564,877.20
  6. Step 6: Final answer
    x = 216,229.41

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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.