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Finding the Fourth Proportional to 416,062.08, 574,165.80 and 225,075.78

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Solution

The fourth proportional to 416,062.08, 574,165.80 and 225,075.78 is: 310,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,062.08 : 574,165.80 = 225,075.78 : x
  2. Step 2: Convert to fraction form
    416,062.08/574,165.80 = 225,075.78/x
  3. Step 3: Cross multiply
    416,062.08x = 574,165.80 × 225,075.78
  4. Step 4: Simplify right side
    416,062.08x = 129,230,815,284.32
  5. Step 5: Solve for x
    x = 129,230,815,284.32/416,062.08
  6. Step 6: Final answer
    x = 310,604.65

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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.