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Finding the Fourth Proportional to 416,695.80, 574,999.02 and 232,899.96

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Solution

The fourth proportional to 416,695.80, 574,999.02 and 232,899.96 is: 321,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,695.80 : 574,999.02 = 232,899.96 : x
  2. Step 2: Convert to fraction form
    416,695.80/574,999.02 = 232,899.96/x
  3. Step 3: Cross multiply
    416,695.80x = 574,999.02 × 232,899.96
  4. Step 4: Simplify right side
    416,695.80x = 133,917,248,758.04
  5. Step 5: Solve for x
    x = 133,917,248,758.04/416,695.80
  6. Step 6: Final answer
    x = 321,378.93

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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.