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Finding the Fourth Proportional to 311,864.10, 467,796.15 and 101,523.30

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Solution

The fourth proportional to 311,864.10, 467,796.15 and 101,523.30 is: 152,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,864.10 : 467,796.15 = 101,523.30 : x
  2. Step 2: Convert to fraction form
    311,864.10/467,796.15 = 101,523.30/x
  3. Step 3: Cross multiply
    311,864.10x = 467,796.15 × 101,523.30
  4. Step 4: Simplify right side
    311,864.10x = 47,492,208,875.30
  5. Step 5: Solve for x
    x = 47,492,208,875.30/311,864.10
  6. Step 6: Final answer
    x = 152,284.95

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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.