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Finding the Fourth Proportional to 874,411.76, 1,206,690.75 and 506,960.33

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Solution

The fourth proportional to 874,411.76, 1,206,690.75 and 506,960.33 is: 699,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,411.76 : 1,206,690.75 = 506,960.33 : x
  2. Step 2: Convert to fraction form
    874,411.76/1,206,690.75 = 506,960.33/x
  3. Step 3: Cross multiply
    874,411.76x = 1,206,690.75 × 506,960.33
  4. Step 4: Simplify right side
    874,411.76x = 611,744,334,794.49
  5. Step 5: Solve for x
    x = 611,744,334,794.49/874,411.76
  6. Step 6: Final answer
    x = 699,606.71

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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.