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Finding the Fourth Proportional to 311,932.80, 467,461.80 and 274,316.40

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Solution

The fourth proportional to 311,932.80, 467,461.80 and 274,316.40 is: 411,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932.80 : 467,461.80 = 274,316.40 : x
  2. Step 2: Convert to fraction form
    311,932.80/467,461.80 = 274,316.40/x
  3. Step 3: Cross multiply
    311,932.80x = 467,461.80 × 274,316.40
  4. Step 4: Simplify right side
    311,932.80x = 128,232,438,113.52
  5. Step 5: Solve for x
    x = 128,232,438,113.52/311,932.80
  6. Step 6: Final answer
    x = 411,089.95

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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.