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Finding the Fourth Proportional to 925,864, 1,277,700 and 501,928

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Solution

The fourth proportional to 925,864, 1,277,700 and 501,928 is: 692,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,864 : 1,277,700 = 501,928 : x
  2. Step 2: Convert to fraction form
    925,864/1,277,700 = 501,928/x
  3. Step 3: Cross multiply
    925,864x = 1,277,700 × 501,928
  4. Step 4: Simplify right side
    925,864x = 641,313,405,600
  5. Step 5: Solve for x
    x = 641,313,405,600/925,864
  6. Step 6: Final answer
    x = 692,664.80

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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.