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Finding the Fourth Proportional to 468,468, 702,721.44 and 136,044

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Solution

The fourth proportional to 468,468, 702,721.44 and 136,044 is: 204,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,468 : 702,721.44 = 136,044 : x
  2. Step 2: Convert to fraction form
    468,468/702,721.44 = 136,044/x
  3. Step 3: Cross multiply
    468,468x = 702,721.44 × 136,044
  4. Step 4: Simplify right side
    468,468x = 95,601,035,583.36
  5. Step 5: Solve for x
    x = 95,601,035,583.36/468,468
  6. Step 6: Final answer
    x = 204,071.65

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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.