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Finding the Fourth Proportional to 416,855.66, 575,261.32 and 225,868.90

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Solution

The fourth proportional to 416,855.66, 575,261.32 and 225,868.90 is: 311,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,855.66 : 575,261.32 = 225,868.90 : x
  2. Step 2: Convert to fraction form
    416,855.66/575,261.32 = 225,868.90/x
  3. Step 3: Cross multiply
    416,855.66x = 575,261.32 × 225,868.90
  4. Step 4: Simplify right side
    416,855.66x = 129,933,641,560.95
  5. Step 5: Solve for x
    x = 129,933,641,560.95/416,855.66
  6. Step 6: Final answer
    x = 311,699.36

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1.5x scale

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.