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Finding the Fourth Proportional to 686,204.96, 946,963.08 and 417,932.96

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Solution

The fourth proportional to 686,204.96, 946,963.08 and 417,932.96 is: 576,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,204.96 : 946,963.08 = 417,932.96 : x
  2. Step 2: Convert to fraction form
    686,204.96/946,963.08 = 417,932.96/x
  3. Step 3: Cross multiply
    686,204.96x = 946,963.08 × 417,932.96
  4. Step 4: Simplify right side
    686,204.96x = 395,767,083,035.12
  5. Step 5: Solve for x
    x = 395,767,083,035.12/686,204.96
  6. Step 6: Final answer
    x = 576,747.63

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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.