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Finding the Fourth Proportional to 311,376.40, 466,999.80 and 86,678.80

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Solution

The fourth proportional to 311,376.40, 466,999.80 and 86,678.80 is: 130,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,376.40 : 466,999.80 = 86,678.80 : x
  2. Step 2: Convert to fraction form
    311,376.40/466,999.80 = 86,678.80/x
  3. Step 3: Cross multiply
    311,376.40x = 466,999.80 × 86,678.80
  4. Step 4: Simplify right side
    311,376.40x = 40,478,982,264.24
  5. Step 5: Solve for x
    x = 40,478,982,264.24/311,376.40
  6. Step 6: Final answer
    x = 130,000.16

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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.