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Finding the Fourth Proportional to 311,552.58, 467,328.70 and 74,895.19

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Solution

The fourth proportional to 311,552.58, 467,328.70 and 74,895.19 is: 112,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,552.58 : 467,328.70 = 74,895.19 : x
  2. Step 2: Convert to fraction form
    311,552.58/467,328.70 = 74,895.19/x
  3. Step 3: Cross multiply
    311,552.58x = 467,328.70 × 74,895.19
  4. Step 4: Simplify right side
    311,552.58x = 35,000,671,778.95
  5. Step 5: Solve for x
    x = 35,000,671,778.95/311,552.58
  6. Step 6: Final answer
    x = 112,342.74

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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.