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Finding the Fourth Proportional to 468,882, 703,439.64 and 136,458

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Solution

The fourth proportional to 468,882, 703,439.64 and 136,458 is: 204,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,882 : 703,439.64 = 136,458 : x
  2. Step 2: Convert to fraction form
    468,882/703,439.64 = 136,458/x
  3. Step 3: Cross multiply
    468,882x = 703,439.64 × 136,458
  4. Step 4: Simplify right side
    468,882x = 95,989,966,395.12
  5. Step 5: Solve for x
    x = 95,989,966,395.12/468,882
  6. Step 6: Final answer
    x = 204,720.95

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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.