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Finding the Fourth Proportional to 416,702.67, 575,046.57 and 235,411.30

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Solution

The fourth proportional to 416,702.67, 575,046.57 and 235,411.30 is: 324,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,702.67 : 575,046.57 = 235,411.30 : x
  2. Step 2: Convert to fraction form
    416,702.67/575,046.57 = 235,411.30/x
  3. Step 3: Cross multiply
    416,702.67x = 575,046.57 × 235,411.30
  4. Step 4: Simplify right side
    416,702.67x = 135,372,460,604.24
  5. Step 5: Solve for x
    x = 135,372,460,604.24/416,702.67
  6. Step 6: Final answer
    x = 324,865.84

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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.