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Finding the Fourth Proportional to 686,098.75, 946,816.28 and 417,826.75

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Solution

The fourth proportional to 686,098.75, 946,816.28 and 417,826.75 is: 576,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098.75 : 946,816.28 = 417,826.75 : x
  2. Step 2: Convert to fraction form
    686,098.75/946,816.28 = 417,826.75/x
  3. Step 3: Cross multiply
    686,098.75x = 946,816.28 × 417,826.75
  4. Step 4: Simplify right side
    686,098.75x = 395,605,169,119.49
  5. Step 5: Solve for x
    x = 395,605,169,119.49/686,098.75
  6. Step 6: Final answer
    x = 576,600.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.