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Finding the Fourth Proportional to 309,792.60, 464,700.34 and 85,170.59

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Solution

The fourth proportional to 309,792.60, 464,700.34 and 85,170.59 is: 127,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,792.60 : 464,700.34 = 85,170.59 : x
  2. Step 2: Convert to fraction form
    309,792.60/464,700.34 = 85,170.59/x
  3. Step 3: Cross multiply
    309,792.60x = 464,700.34 × 85,170.59
  4. Step 4: Simplify right side
    309,792.60x = 39,578,801,656.59
  5. Step 5: Solve for x
    x = 39,578,801,656.59/309,792.60
  6. Step 6: Final answer
    x = 127,759.03

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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.