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Finding the Fourth Proportional to 684,634.38, 944,722.76 and 378,662.16

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Solution

The fourth proportional to 684,634.38, 944,722.76 and 378,662.16 is: 522,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,634.38 : 944,722.76 = 378,662.16 : x
  2. Step 2: Convert to fraction form
    684,634.38/944,722.76 = 378,662.16/x
  3. Step 3: Cross multiply
    684,634.38x = 944,722.76 × 378,662.16
  4. Step 4: Simplify right side
    684,634.38x = 357,730,760,902.76
  5. Step 5: Solve for x
    x = 357,730,760,902.76/684,634.38
  6. Step 6: Final answer
    x = 522,513.58

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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.