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Finding the Fourth Proportional to 416,655.78, 575,082.09 and 295,834.96

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Solution

The fourth proportional to 416,655.78, 575,082.09 and 295,834.96 is: 408,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,655.78 : 575,082.09 = 295,834.96 : x
  2. Step 2: Convert to fraction form
    416,655.78/575,082.09 = 295,834.96/x
  3. Step 3: Cross multiply
    416,655.78x = 575,082.09 × 295,834.96
  4. Step 4: Simplify right side
    416,655.78x = 170,129,387,091.87
  5. Step 5: Solve for x
    x = 170,129,387,091.87/416,655.78
  6. Step 6: Final answer
    x = 408,321.20

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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.