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Finding the Fourth Proportional to 287,027.60, 430,326.92 and 198,027.14

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Solution

The fourth proportional to 287,027.60, 430,326.92 and 198,027.14 is: 296,892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,027.60 : 430,326.92 = 198,027.14 : x
  2. Step 2: Convert to fraction form
    287,027.60/430,326.92 = 198,027.14/x
  3. Step 3: Cross multiply
    287,027.60x = 430,326.92 × 198,027.14
  4. Step 4: Simplify right side
    287,027.60x = 85,216,407,576.04
  5. Step 5: Solve for x
    x = 85,216,407,576.04/287,027.60
  6. Step 6: Final answer
    x = 296,892.73

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1.5x scale

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.