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Finding the Fourth Proportional to 295,689.94, 408,052.28 and 159,723.89

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Solution

The fourth proportional to 295,689.94, 408,052.28 and 159,723.89 is: 220,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,689.94 : 408,052.28 = 159,723.89 : x
  2. Step 2: Convert to fraction form
    295,689.94/408,052.28 = 159,723.89/x
  3. Step 3: Cross multiply
    295,689.94x = 408,052.28 × 159,723.89
  4. Step 4: Simplify right side
    295,689.94x = 65,175,697,484.97
  5. Step 5: Solve for x
    x = 65,175,697,484.97/295,689.94
  6. Step 6: Final answer
    x = 220,419.06

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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.