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Finding the Fourth Proportional to 295,688.17, 408,049.82 and 159,722.11

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Solution

The fourth proportional to 295,688.17, 408,049.82 and 159,722.11 is: 220,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.17 : 408,049.82 = 159,722.11 : x
  2. Step 2: Convert to fraction form
    295,688.17/408,049.82 = 159,722.11/x
  3. Step 3: Cross multiply
    295,688.17x = 408,049.82 × 159,722.11
  4. Step 4: Simplify right side
    295,688.17x = 65,174,578,235.52
  5. Step 5: Solve for x
    x = 65,174,578,235.52/295,688.17
  6. Step 6: Final answer
    x = 220,416.59

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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.