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Finding the Fourth Proportional to 314,396.40, 471,298.14 and 156,475.56

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Solution

The fourth proportional to 314,396.40, 471,298.14 and 156,475.56 is: 234,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,396.40 : 471,298.14 = 156,475.56 : x
  2. Step 2: Convert to fraction form
    314,396.40/471,298.14 = 156,475.56/x
  3. Step 3: Cross multiply
    314,396.40x = 471,298.14 × 156,475.56
  4. Step 4: Simplify right side
    314,396.40x = 73,746,640,383.46
  5. Step 5: Solve for x
    x = 73,746,640,383.46/314,396.40
  6. Step 6: Final answer
    x = 234,565.79

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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.