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Finding the Fourth Proportional to 311,595, 467,345.12 and 86,931.78

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Solution

The fourth proportional to 311,595, 467,345.12 and 86,931.78 is: 130,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,595 : 467,345.12 = 86,931.78 : x
  2. Step 2: Convert to fraction form
    311,595/467,345.12 = 86,931.78/x
  3. Step 3: Cross multiply
    311,595x = 467,345.12 × 86,931.78
  4. Step 4: Simplify right side
    311,595x = 40,627,142,721.25
  5. Step 5: Solve for x
    x = 40,627,142,721.25/311,595
  6. Step 6: Final answer
    x = 130,384.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.