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Finding the Fourth Proportional to 416,743.29, 575,106.01 and 225,757.44

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Solution

The fourth proportional to 416,743.29, 575,106.01 and 225,757.44 is: 311,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,743.29 : 575,106.01 = 225,757.44 : x
  2. Step 2: Convert to fraction form
    416,743.29/575,106.01 = 225,757.44/x
  3. Step 3: Cross multiply
    416,743.29x = 575,106.01 × 225,757.44
  4. Step 4: Simplify right side
    416,743.29x = 129,834,459,981.82
  5. Step 5: Solve for x
    x = 129,834,459,981.82/416,743.29
  6. Step 6: Final answer
    x = 311,545.41

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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.