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Finding the Fourth Proportional to 413,112.84, 619,494.30 and 146,940.36

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Solution

The fourth proportional to 413,112.84, 619,494.30 and 146,940.36 is: 220,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,112.84 : 619,494.30 = 146,940.36 : x
  2. Step 2: Convert to fraction form
    413,112.84/619,494.30 = 146,940.36/x
  3. Step 3: Cross multiply
    413,112.84x = 619,494.30 × 146,940.36
  4. Step 4: Simplify right side
    413,112.84x = 91,028,715,459.95
  5. Step 5: Solve for x
    x = 91,028,715,459.95/413,112.84
  6. Step 6: Final answer
    x = 220,348.31

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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.