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Finding the Fourth Proportional to 295,710.13, 443,593.14 and 82,492.21

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Solution

The fourth proportional to 295,710.13, 443,593.14 and 82,492.21 is: 123,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,710.13 : 443,593.14 = 82,492.21 : x
  2. Step 2: Convert to fraction form
    295,710.13/443,593.14 = 82,492.21/x
  3. Step 3: Cross multiply
    295,710.13x = 443,593.14 × 82,492.21
  4. Step 4: Simplify right side
    295,710.13x = 36,592,978,459.44
  5. Step 5: Solve for x
    x = 36,592,978,459.44/295,710.13
  6. Step 6: Final answer
    x = 123,746.11

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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.