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Finding the Fourth Proportional to 311,070.30, 466,221.45 and 211,230.30

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Solution

The fourth proportional to 311,070.30, 466,221.45 and 211,230.30 is: 316,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,070.30 : 466,221.45 = 211,230.30 : x
  2. Step 2: Convert to fraction form
    311,070.30/466,221.45 = 211,230.30/x
  3. Step 3: Cross multiply
    311,070.30x = 466,221.45 × 211,230.30
  4. Step 4: Simplify right side
    311,070.30x = 98,480,096,749.94
  5. Step 5: Solve for x
    x = 98,480,096,749.94/311,070.30
  6. Step 6: Final answer
    x = 316,584.70

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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.