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Finding the Fourth Proportional to 585,835.17, 808,414.39 and 327,667.38

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Solution

The fourth proportional to 585,835.17, 808,414.39 and 327,667.38 is: 452,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,835.17 : 808,414.39 = 327,667.38 : x
  2. Step 2: Convert to fraction form
    585,835.17/808,414.39 = 327,667.38/x
  3. Step 3: Cross multiply
    585,835.17x = 808,414.39 × 327,667.38
  4. Step 4: Simplify right side
    585,835.17x = 264,891,025,125.60
  5. Step 5: Solve for x
    x = 264,891,025,125.60/585,835.17
  6. Step 6: Final answer
    x = 452,159.65

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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.