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Finding the Fourth Proportional to 295,712.13, 443,596.14 and 82,494.21

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Solution

The fourth proportional to 295,712.13, 443,596.14 and 82,494.21 is: 123,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712.13 : 443,596.14 = 82,494.21 : x
  2. Step 2: Convert to fraction form
    295,712.13/443,596.14 = 82,494.21/x
  3. Step 3: Cross multiply
    295,712.13x = 443,596.14 × 82,494.21
  4. Step 4: Simplify right side
    295,712.13x = 36,594,113,128.35
  5. Step 5: Solve for x
    x = 36,594,113,128.35/295,712.13
  6. Step 6: Final answer
    x = 123,749.11

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1.5x scale

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.