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Finding the Fourth Proportional to 309,597.60, 464,396.91 and 84,961.11

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Solution

The fourth proportional to 309,597.60, 464,396.91 and 84,961.11 is: 127,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597.60 : 464,396.91 = 84,961.11 : x
  2. Step 2: Convert to fraction form
    309,597.60/464,396.91 = 84,961.11/x
  3. Step 3: Cross multiply
    309,597.60x = 464,396.91 × 84,961.11
  4. Step 4: Simplify right side
    309,597.60x = 39,455,676,954.17
  5. Step 5: Solve for x
    x = 39,455,676,954.17/309,597.60
  6. Step 6: Final answer
    x = 127,441.80

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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.