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Finding the Fourth Proportional to 413,804.32, 620,978.68 and 226,947.04

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Solution

The fourth proportional to 413,804.32, 620,978.68 and 226,947.04 is: 340,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,804.32 : 620,978.68 = 226,947.04 : x
  2. Step 2: Convert to fraction form
    413,804.32/620,978.68 = 226,947.04/x
  3. Step 3: Cross multiply
    413,804.32x = 620,978.68 × 226,947.04
  4. Step 4: Simplify right side
    413,804.32x = 140,929,273,329.11
  5. Step 5: Solve for x
    x = 140,929,273,329.11/413,804.32
  6. Step 6: Final answer
    x = 340,569.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.