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Finding the Fourth Proportional to 412,752.17, 619,189.74 and 146,490.39

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Solution

The fourth proportional to 412,752.17, 619,189.74 and 146,490.39 is: 219,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,752.17 : 619,189.74 = 146,490.39 : x
  2. Step 2: Convert to fraction form
    412,752.17/619,189.74 = 146,490.39/x
  3. Step 3: Cross multiply
    412,752.17x = 619,189.74 × 146,490.39
  4. Step 4: Simplify right side
    412,752.17x = 90,705,346,496.60
  5. Step 5: Solve for x
    x = 90,705,346,496.60/412,752.17
  6. Step 6: Final answer
    x = 219,757.41

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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.