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Finding the Fourth Proportional to 410,046.79, 614,571.52 and 290,138.29

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Solution

The fourth proportional to 410,046.79, 614,571.52 and 290,138.29 is: 434,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,046.79 : 614,571.52 = 290,138.29 : x
  2. Step 2: Convert to fraction form
    410,046.79/614,571.52 = 290,138.29/x
  3. Step 3: Cross multiply
    410,046.79x = 614,571.52 × 290,138.29
  4. Step 4: Simplify right side
    410,046.79x = 178,310,725,371.95
  5. Step 5: Solve for x
    x = 178,310,725,371.95/410,046.79
  6. Step 6: Final answer
    x = 434,854.59

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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.