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Finding the Fourth Proportional to 307,049.44, 460,386.55 and 147,174.29

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Solution

The fourth proportional to 307,049.44, 460,386.55 and 147,174.29 is: 220,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,049.44 : 460,386.55 = 147,174.29 : x
  2. Step 2: Convert to fraction form
    307,049.44/460,386.55 = 147,174.29/x
  3. Step 3: Cross multiply
    307,049.44x = 460,386.55 × 147,174.29
  4. Step 4: Simplify right side
    307,049.44x = 67,757,064,404.83
  5. Step 5: Solve for x
    x = 67,757,064,404.83/307,049.44
  6. Step 6: Final answer
    x = 220,671.51

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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.