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Finding the Fourth Proportional to 416,681.86, 575,021.13 and 225,694.66

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Solution

The fourth proportional to 416,681.86, 575,021.13 and 225,694.66 is: 311,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,681.86 : 575,021.13 = 225,694.66 : x
  2. Step 2: Convert to fraction form
    416,681.86/575,021.13 = 225,694.66/x
  3. Step 3: Cross multiply
    416,681.86x = 575,021.13 × 225,694.66
  4. Step 4: Simplify right side
    416,681.86x = 129,779,198,428.17
  5. Step 5: Solve for x
    x = 129,779,198,428.17/416,681.86
  6. Step 6: Final answer
    x = 311,458.72

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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.