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Finding the Fourth Proportional to 311,823.80, 467,735.70 and 217,345.40

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Solution

The fourth proportional to 311,823.80, 467,735.70 and 217,345.40 is: 326,018.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,823.80 : 467,735.70 = 217,345.40 : x
  2. Step 2: Convert to fraction form
    311,823.80/467,735.70 = 217,345.40/x
  3. Step 3: Cross multiply
    311,823.80x = 467,735.70 × 217,345.40
  4. Step 4: Simplify right side
    311,823.80x = 101,660,202,810.78
  5. Step 5: Solve for x
    x = 101,660,202,810.78/311,823.80
  6. Step 6: Final answer
    x = 326,018.10

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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.