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Finding the Fourth Proportional to 314,493.12, 471,652.11 and 104,147.46

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Solution

The fourth proportional to 314,493.12, 471,652.11 and 104,147.46 is: 156,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,493.12 : 471,652.11 = 104,147.46 : x
  2. Step 2: Convert to fraction form
    314,493.12/471,652.11 = 104,147.46/x
  3. Step 3: Cross multiply
    314,493.12x = 471,652.11 × 104,147.46
  4. Step 4: Simplify right side
    314,493.12x = 49,121,369,260.14
  5. Step 5: Solve for x
    x = 49,121,369,260.14/314,493.12
  6. Step 6: Final answer
    x = 156,192.19

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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.