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Finding the Fourth Proportional to 318,783.67, 478,062.95 and 94,084

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Solution

The fourth proportional to 318,783.67, 478,062.95 and 94,084 is: 141,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,783.67 : 478,062.95 = 94,084 : x
  2. Step 2: Convert to fraction form
    318,783.67/478,062.95 = 94,084/x
  3. Step 3: Cross multiply
    318,783.67x = 478,062.95 × 94,084
  4. Step 4: Simplify right side
    318,783.67x = 44,978,074,587.80
  5. Step 5: Solve for x
    x = 44,978,074,587.80/318,783.67
  6. Step 6: Final answer
    x = 141,092.78

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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.