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Finding the Fourth Proportional to 311,412.10, 467,233.35 and 101,056.90

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Solution

The fourth proportional to 311,412.10, 467,233.35 and 101,056.90 is: 151,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.10 : 467,233.35 = 101,056.90 : x
  2. Step 2: Convert to fraction form
    311,412.10/467,233.35 = 101,056.90/x
  3. Step 3: Cross multiply
    311,412.10x = 467,233.35 × 101,056.90
  4. Step 4: Simplify right side
    311,412.10x = 47,217,153,927.62
  5. Step 5: Solve for x
    x = 47,217,153,927.62/311,412.10
  6. Step 6: Final answer
    x = 151,622.73

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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.