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Finding the Fourth Proportional to 686,103.75, 946,823.18 and 417,831.75

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Solution

The fourth proportional to 686,103.75, 946,823.18 and 417,831.75 is: 576,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,103.75 : 946,823.18 = 417,831.75 : x
  2. Step 2: Convert to fraction form
    686,103.75/946,823.18 = 417,831.75/x
  3. Step 3: Cross multiply
    686,103.75x = 946,823.18 × 417,831.75
  4. Step 4: Simplify right side
    686,103.75x = 395,612,786,239.97
  5. Step 5: Solve for x
    x = 395,612,786,239.97/686,103.75
  6. Step 6: Final answer
    x = 576,607.82

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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.