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Finding the Fourth Proportional to 296,329.22, 408,934.29 and 160,363.16

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Solution

The fourth proportional to 296,329.22, 408,934.29 and 160,363.16 is: 221,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,329.22 : 408,934.29 = 160,363.16 : x
  2. Step 2: Convert to fraction form
    296,329.22/408,934.29 = 160,363.16/x
  3. Step 3: Cross multiply
    296,329.22x = 408,934.29 × 160,363.16
  4. Step 4: Simplify right side
    296,329.22x = 65,577,992,932.09
  5. Step 5: Solve for x
    x = 65,577,992,932.09/296,329.22
  6. Step 6: Final answer
    x = 221,301.14

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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.