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Finding the Fourth Proportional to 416,680.61, 575,019.41 and 225,693.41

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Solution

The fourth proportional to 416,680.61, 575,019.41 and 225,693.41 is: 311,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,680.61 : 575,019.41 = 225,693.41 : x
  2. Step 2: Convert to fraction form
    416,680.61/575,019.41 = 225,693.41/x
  3. Step 3: Cross multiply
    416,680.61x = 575,019.41 × 225,693.41
  4. Step 4: Simplify right side
    416,680.61x = 129,778,090,330.62
  5. Step 5: Solve for x
    x = 129,778,090,330.62/416,680.61
  6. Step 6: Final answer
    x = 311,456.99

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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.