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Finding the Fourth Proportional to 468,671.24, 646,830.70 and 287,351.12

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Solution

The fourth proportional to 468,671.24, 646,830.70 and 287,351.12 is: 396,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,671.24 : 646,830.70 = 287,351.12 : x
  2. Step 2: Convert to fraction form
    468,671.24/646,830.70 = 287,351.12/x
  3. Step 3: Cross multiply
    468,671.24x = 646,830.70 × 287,351.12
  4. Step 4: Simplify right side
    468,671.24x = 185,867,526,095.38
  5. Step 5: Solve for x
    x = 185,867,526,095.38/468,671.24
  6. Step 6: Final answer
    x = 396,584.02

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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.