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Finding the Fourth Proportional to 286,385.60, 430,037.40 and 227,709.20

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Solution

The fourth proportional to 286,385.60, 430,037.40 and 227,709.20 is: 341,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,385.60 : 430,037.40 = 227,709.20 : x
  2. Step 2: Convert to fraction form
    286,385.60/430,037.40 = 227,709.20/x
  3. Step 3: Cross multiply
    286,385.60x = 430,037.40 × 227,709.20
  4. Step 4: Simplify right side
    286,385.60x = 97,923,472,324.08
  5. Step 5: Solve for x
    x = 97,923,472,324.08/286,385.60
  6. Step 6: Final answer
    x = 341,928.76

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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.