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Finding the Fourth Proportional to 334,873.40, 502,270.32 and 110,178.12

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Solution

The fourth proportional to 334,873.40, 502,270.32 and 110,178.12 is: 165,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,873.40 : 502,270.32 = 110,178.12 : x
  2. Step 2: Convert to fraction form
    334,873.40/502,270.32 = 110,178.12/x
  3. Step 3: Cross multiply
    334,873.40x = 502,270.32 × 110,178.12
  4. Step 4: Simplify right side
    334,873.40x = 55,339,199,589.40
  5. Step 5: Solve for x
    x = 55,339,199,589.40/334,873.40
  6. Step 6: Final answer
    x = 165,254.09

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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.