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Finding the Fourth Proportional to 416,070.26, 574,174.98 and 225,081.98

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Solution

The fourth proportional to 416,070.26, 574,174.98 and 225,081.98 is: 310,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,070.26 : 574,174.98 = 225,081.98 : x
  2. Step 2: Convert to fraction form
    416,070.26/574,174.98 = 225,081.98/x
  3. Step 3: Cross multiply
    416,070.26x = 574,174.98 × 225,081.98
  4. Step 4: Simplify right side
    416,070.26x = 129,236,441,364.86
  5. Step 5: Solve for x
    x = 129,236,441,364.86/416,070.26
  6. Step 6: Final answer
    x = 310,612.06

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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.