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Finding the Fourth Proportional to 468,883, 703,441.14 and 136,459

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Solution

The fourth proportional to 468,883, 703,441.14 and 136,459 is: 204,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,883 : 703,441.14 = 136,459 : x
  2. Step 2: Convert to fraction form
    468,883/703,441.14 = 136,459/x
  3. Step 3: Cross multiply
    468,883x = 703,441.14 × 136,459
  4. Step 4: Simplify right side
    468,883x = 95,990,874,523.26
  5. Step 5: Solve for x
    x = 95,990,874,523.26/468,883
  6. Step 6: Final answer
    x = 204,722.45

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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.