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Finding the Fourth Proportional to 468,838, 703,373.64 and 136,414

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Solution

The fourth proportional to 468,838, 703,373.64 and 136,414 is: 204,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,838 : 703,373.64 = 136,414 : x
  2. Step 2: Convert to fraction form
    468,838/703,373.64 = 136,414/x
  3. Step 3: Cross multiply
    468,838x = 703,373.64 × 136,414
  4. Step 4: Simplify right side
    468,838x = 95,950,011,726.96
  5. Step 5: Solve for x
    x = 95,950,011,726.96/468,838
  6. Step 6: Final answer
    x = 204,654.94

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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.