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Finding the Fourth Proportional to 311,416.10, 467,124.12 and 74,758.77

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Solution

The fourth proportional to 311,416.10, 467,124.12 and 74,758.77 is: 112,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.10 : 467,124.12 = 74,758.77 : x
  2. Step 2: Convert to fraction form
    311,416.10/467,124.12 = 74,758.77/x
  3. Step 3: Cross multiply
    311,416.10x = 467,124.12 × 74,758.77
  4. Step 4: Simplify right side
    311,416.10x = 34,921,624,648.53
  5. Step 5: Solve for x
    x = 34,921,624,648.53/311,416.10
  6. Step 6: Final answer
    x = 112,138.15

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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.