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Finding the Fourth Proportional to 416,703.05, 575,049.66 and 225,717.20

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Solution

The fourth proportional to 416,703.05, 575,049.66 and 225,717.20 is: 311,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,703.05 : 575,049.66 = 225,717.20 : x
  2. Step 2: Convert to fraction form
    416,703.05/575,049.66 = 225,717.20/x
  3. Step 3: Cross multiply
    416,703.05x = 575,049.66 × 225,717.20
  4. Step 4: Simplify right side
    416,703.05x = 129,798,596,240.90
  5. Step 5: Solve for x
    x = 129,798,596,240.90/416,703.05
  6. Step 6: Final answer
    x = 311,489.44

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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.