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Finding the Fourth Proportional to 295,643.38, 443,575.26 and 177,399.58

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Solution

The fourth proportional to 295,643.38, 443,575.26 and 177,399.58 is: 266,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,643.38 : 443,575.26 = 177,399.58 : x
  2. Step 2: Convert to fraction form
    295,643.38/443,575.26 = 177,399.58/x
  3. Step 3: Cross multiply
    295,643.38x = 443,575.26 × 177,399.58
  4. Step 4: Simplify right side
    295,643.38x = 78,690,064,822.39
  5. Step 5: Solve for x
    x = 78,690,064,822.39/295,643.38
  6. Step 6: Final answer
    x = 266,165.49

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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.