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Finding the Fourth Proportional to 389,864.46, 584,796.26 and 146,750.94

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Solution

The fourth proportional to 389,864.46, 584,796.26 and 146,750.94 is: 220,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,864.46 : 584,796.26 = 146,750.94 : x
  2. Step 2: Convert to fraction form
    389,864.46/584,796.26 = 146,750.94/x
  3. Step 3: Cross multiply
    389,864.46x = 584,796.26 × 146,750.94
  4. Step 4: Simplify right side
    389,864.46x = 85,819,400,129.73
  5. Step 5: Solve for x
    x = 85,819,400,129.73/389,864.46
  6. Step 6: Final answer
    x = 220,126.25

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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.