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Finding the Fourth Proportional to 584,763.71, 806,976.38 and 316,491.71

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Solution

The fourth proportional to 584,763.71, 806,976.38 and 316,491.71 is: 436,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,763.71 : 806,976.38 = 316,491.71 : x
  2. Step 2: Convert to fraction form
    584,763.71/806,976.38 = 316,491.71/x
  3. Step 3: Cross multiply
    584,763.71x = 806,976.38 × 316,491.71
  4. Step 4: Simplify right side
    584,763.71x = 255,401,332,853.35
  5. Step 5: Solve for x
    x = 255,401,332,853.35/584,763.71
  6. Step 6: Final answer
    x = 436,759.89

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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.