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Finding the Fourth Proportional to 309,598.11, 464,397.66 and 84,961.62

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Solution

The fourth proportional to 309,598.11, 464,397.66 and 84,961.62 is: 127,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,598.11 : 464,397.66 = 84,961.62 : x
  2. Step 2: Convert to fraction form
    309,598.11/464,397.66 = 84,961.62/x
  3. Step 3: Cross multiply
    309,598.11x = 464,397.66 × 84,961.62
  4. Step 4: Simplify right side
    309,598.11x = 39,455,977,517.81
  5. Step 5: Solve for x
    x = 39,455,977,517.81/309,598.11
  6. Step 6: Final answer
    x = 127,442.57

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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.