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Finding the Fourth Proportional to 686,099.25, 946,816.97 and 417,827.25

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Solution

The fourth proportional to 686,099.25, 946,816.97 and 417,827.25 is: 576,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,099.25 : 946,816.97 = 417,827.25 : x
  2. Step 2: Convert to fraction form
    686,099.25/946,816.97 = 417,827.25/x
  3. Step 3: Cross multiply
    686,099.25x = 946,816.97 × 417,827.25
  4. Step 4: Simplify right side
    686,099.25x = 395,605,928,739.30
  5. Step 5: Solve for x
    x = 395,605,928,739.30/686,099.25
  6. Step 6: Final answer
    x = 576,601.61

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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.