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Finding the Fourth Proportional to 416,352.84, 574,564.64 and 235,063.10

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Solution

The fourth proportional to 416,352.84, 574,564.64 and 235,063.10 is: 324,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,352.84 : 574,564.64 = 235,063.10 : x
  2. Step 2: Convert to fraction form
    416,352.84/574,564.64 = 235,063.10/x
  3. Step 3: Cross multiply
    416,352.84x = 574,564.64 × 235,063.10
  4. Step 4: Simplify right side
    416,352.84x = 135,058,941,380.65
  5. Step 5: Solve for x
    x = 135,058,941,380.65/416,352.84
  6. Step 6: Final answer
    x = 324,385.78

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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.