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Finding the Fourth Proportional to 408,752.58, 613,129.10 and 195,470.11

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Solution

The fourth proportional to 408,752.58, 613,129.10 and 195,470.11 is: 293,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,752.58 : 613,129.10 = 195,470.11 : x
  2. Step 2: Convert to fraction form
    408,752.58/613,129.10 = 195,470.11/x
  3. Step 3: Cross multiply
    408,752.58x = 613,129.10 × 195,470.11
  4. Step 4: Simplify right side
    408,752.58x = 119,848,412,410.26
  5. Step 5: Solve for x
    x = 119,848,412,410.26/408,752.58
  6. Step 6: Final answer
    x = 293,205.28

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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.