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Finding the Fourth Proportional to 416,826.85, 575,213.54 and 235,534.88

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Solution

The fourth proportional to 416,826.85, 575,213.54 and 235,534.88 is: 325,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,826.85 : 575,213.54 = 235,534.88 : x
  2. Step 2: Convert to fraction form
    416,826.85/575,213.54 = 235,534.88/x
  3. Step 3: Cross multiply
    416,826.85x = 575,213.54 × 235,534.88
  4. Step 4: Simplify right side
    416,826.85x = 135,482,852,118.28
  5. Step 5: Solve for x
    x = 135,482,852,118.28/416,826.85
  6. Step 6: Final answer
    x = 325,033.89

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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.