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Finding the Fourth Proportional to 687,846.92, 949,215.44 and 381,907.48

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Solution

The fourth proportional to 687,846.92, 949,215.44 and 381,907.48 is: 527,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,846.92 : 949,215.44 = 381,907.48 : x
  2. Step 2: Convert to fraction form
    687,846.92/949,215.44 = 381,907.48/x
  3. Step 3: Cross multiply
    687,846.92x = 949,215.44 × 381,907.48
  4. Step 4: Simplify right side
    687,846.92x = 362,512,476,667.49
  5. Step 5: Solve for x
    x = 362,512,476,667.49/687,846.92
  6. Step 6: Final answer
    x = 527,024.93

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1.5x scale

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.