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Finding the Fourth Proportional to 360,309.76, 497,159.04 and 226,113.28

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Solution

The fourth proportional to 360,309.76, 497,159.04 and 226,113.28 is: 311,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,309.76 : 497,159.04 = 226,113.28 : x
  2. Step 2: Convert to fraction form
    360,309.76/497,159.04 = 226,113.28/x
  3. Step 3: Cross multiply
    360,309.76x = 497,159.04 × 226,113.28
  4. Step 4: Simplify right side
    360,309.76x = 112,414,261,216.05
  5. Step 5: Solve for x
    x = 112,414,261,216.05/360,309.76
  6. Step 6: Final answer
    x = 311,993.38

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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.