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Finding the Fourth Proportional to 309,775, 464,387.10 and 110,068.96

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Solution

The fourth proportional to 309,775, 464,387.10 and 110,068.96 is: 165,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,775 : 464,387.10 = 110,068.96 : x
  2. Step 2: Convert to fraction form
    309,775/464,387.10 = 110,068.96/x
  3. Step 3: Cross multiply
    309,775x = 464,387.10 × 110,068.96
  4. Step 4: Simplify right side
    309,775x = 51,114,605,134.42
  5. Step 5: Solve for x
    x = 51,114,605,134.42/309,775
  6. Step 6: Final answer
    x = 165,005.59

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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.