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Finding the Fourth Proportional to 475,028.08, 712,476.24 and 120,020.24

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Solution

The fourth proportional to 475,028.08, 712,476.24 and 120,020.24 is: 180,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,028.08 : 712,476.24 = 120,020.24 : x
  2. Step 2: Convert to fraction form
    475,028.08/712,476.24 = 120,020.24/x
  3. Step 3: Cross multiply
    475,028.08x = 712,476.24 × 120,020.24
  4. Step 4: Simplify right side
    475,028.08x = 85,511,569,319.10
  5. Step 5: Solve for x
    x = 85,511,569,319.10/475,028.08
  6. Step 6: Final answer
    x = 180,013.71

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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.