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Finding the Fourth Proportional to 468,634.13, 646,715.45 and 253,774.43

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Solution

The fourth proportional to 468,634.13, 646,715.45 and 253,774.43 is: 350,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,634.13 : 646,715.45 = 253,774.43 : x
  2. Step 2: Convert to fraction form
    468,634.13/646,715.45 = 253,774.43/x
  3. Step 3: Cross multiply
    468,634.13x = 646,715.45 × 253,774.43
  4. Step 4: Simplify right side
    468,634.13x = 164,119,844,695.94
  5. Step 5: Solve for x
    x = 164,119,844,695.94/468,634.13
  6. Step 6: Final answer
    x = 350,208.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.