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Finding the Fourth Proportional to 468,261, 702,508.14 and 135,837

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Solution

The fourth proportional to 468,261, 702,508.14 and 135,837 is: 203,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,261 : 702,508.14 = 135,837 : x
  2. Step 2: Convert to fraction form
    468,261/702,508.14 = 135,837/x
  3. Step 3: Cross multiply
    468,261x = 702,508.14 × 135,837
  4. Step 4: Simplify right side
    468,261x = 95,426,598,213.18
  5. Step 5: Solve for x
    x = 95,426,598,213.18/468,261
  6. Step 6: Final answer
    x = 203,789.34

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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.