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Finding the Fourth Proportional to 278,680.96, 384,317.76 and 214,917.76

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Solution

The fourth proportional to 278,680.96, 384,317.76 and 214,917.76 is: 296,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,680.96 : 384,317.76 = 214,917.76 : x
  2. Step 2: Convert to fraction form
    278,680.96/384,317.76 = 214,917.76/x
  3. Step 3: Cross multiply
    278,680.96x = 384,317.76 × 214,917.76
  4. Step 4: Simplify right side
    278,680.96x = 82,596,712,107.42
  5. Step 5: Solve for x
    x = 82,596,712,107.42/278,680.96
  6. Step 6: Final answer
    x = 296,384.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.