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Finding the Fourth Proportional to 295,705.68, 443,552.10 and 82,467.90

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Solution

The fourth proportional to 295,705.68, 443,552.10 and 82,467.90 is: 123,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705.68 : 443,552.10 = 82,467.90 : x
  2. Step 2: Convert to fraction form
    295,705.68/443,552.10 = 82,467.90/x
  3. Step 3: Cross multiply
    295,705.68x = 443,552.10 × 82,467.90
  4. Step 4: Simplify right side
    295,705.68x = 36,578,810,227.59
  5. Step 5: Solve for x
    x = 36,578,810,227.59/295,705.68
  6. Step 6: Final answer
    x = 123,700.06

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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.