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Finding the Fourth Proportional to 295,315.10, 442,957.17 and 84,944.78

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Solution

The fourth proportional to 295,315.10, 442,957.17 and 84,944.78 is: 127,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,315.10 : 442,957.17 = 84,944.78 : x
  2. Step 2: Convert to fraction form
    295,315.10/442,957.17 = 84,944.78/x
  3. Step 3: Cross multiply
    295,315.10x = 442,957.17 × 84,944.78
  4. Step 4: Simplify right side
    295,315.10x = 37,626,899,355.07
  5. Step 5: Solve for x
    x = 37,626,899,355.07/295,315.10
  6. Step 6: Final answer
    x = 127,412.72

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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.