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Finding the Fourth Proportional to 314,228.70, 471,362.49 and 156,298.14

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Solution

The fourth proportional to 314,228.70, 471,362.49 and 156,298.14 is: 234,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,228.70 : 471,362.49 = 156,298.14 : x
  2. Step 2: Convert to fraction form
    314,228.70/471,362.49 = 156,298.14/x
  3. Step 3: Cross multiply
    314,228.70x = 471,362.49 × 156,298.14
  4. Step 4: Simplify right side
    314,228.70x = 73,673,080,452.77
  5. Step 5: Solve for x
    x = 73,673,080,452.77/314,228.70
  6. Step 6: Final answer
    x = 234,456.88

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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.