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Finding the Fourth Proportional to 468,885, 703,444.14 and 136,461

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Solution

The fourth proportional to 468,885, 703,444.14 and 136,461 is: 204,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,885 : 703,444.14 = 136,461 : x
  2. Step 2: Convert to fraction form
    468,885/703,444.14 = 136,461/x
  3. Step 3: Cross multiply
    468,885x = 703,444.14 × 136,461
  4. Step 4: Simplify right side
    468,885x = 95,992,690,788.54
  5. Step 5: Solve for x
    x = 95,992,690,788.54/468,885
  6. Step 6: Final answer
    x = 204,725.45

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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.