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Finding the Fourth Proportional to 584,135.50, 806,107.04 and 315,863.50

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Solution

The fourth proportional to 584,135.50, 806,107.04 and 315,863.50 is: 435,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,135.50 : 806,107.04 = 315,863.50 : x
  2. Step 2: Convert to fraction form
    584,135.50/806,107.04 = 315,863.50/x
  3. Step 3: Cross multiply
    584,135.50x = 806,107.04 × 315,863.50
  4. Step 4: Simplify right side
    584,135.50x = 254,619,791,029.04
  5. Step 5: Solve for x
    x = 254,619,791,029.04/584,135.50
  6. Step 6: Final answer
    x = 435,891.66

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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.