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Finding the Fourth Proportional to 416,833.29, 575,227.98 and 225,846.63

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Solution

The fourth proportional to 416,833.29, 575,227.98 and 225,846.63 is: 311,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,833.29 : 575,227.98 = 225,846.63 : x
  2. Step 2: Convert to fraction form
    416,833.29/575,227.98 = 225,846.63/x
  3. Step 3: Cross multiply
    416,833.29x = 575,227.98 × 225,846.63
  4. Step 4: Simplify right side
    416,833.29x = 129,913,300,764.71
  5. Step 5: Solve for x
    x = 129,913,300,764.71/416,833.29
  6. Step 6: Final answer
    x = 311,667.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.