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Finding the Fourth Proportional to 295,697.41, 443,539.71 and 82,459.64

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Solution

The fourth proportional to 295,697.41, 443,539.71 and 82,459.64 is: 123,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,697.41 : 443,539.71 = 82,459.64 : x
  2. Step 2: Convert to fraction form
    295,697.41/443,539.71 = 82,459.64/x
  3. Step 3: Cross multiply
    295,697.41x = 443,539.71 × 82,459.64
  4. Step 4: Simplify right side
    295,697.41x = 36,574,125,921.15
  5. Step 5: Solve for x
    x = 36,574,125,921.15/295,697.41
  6. Step 6: Final answer
    x = 123,687.68

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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.