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Finding the Fourth Proportional to 389,865.24, 584,797.41 and 146,751.69

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Solution

The fourth proportional to 389,865.24, 584,797.41 and 146,751.69 is: 220,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,865.24 : 584,797.41 = 146,751.69 : x
  2. Step 2: Convert to fraction form
    389,865.24/584,797.41 = 146,751.69/x
  3. Step 3: Cross multiply
    389,865.24x = 584,797.41 × 146,751.69
  4. Step 4: Simplify right side
    389,865.24x = 85,820,008,225.12
  5. Step 5: Solve for x
    x = 85,820,008,225.12/389,865.24
  6. Step 6: Final answer
    x = 220,127.37

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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.