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Finding the Fourth Proportional to 686,102.75, 946,821.80 and 417,830.75

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Solution

The fourth proportional to 686,102.75, 946,821.80 and 417,830.75 is: 576,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,102.75 : 946,821.80 = 417,830.75 : x
  2. Step 2: Convert to fraction form
    686,102.75/946,821.80 = 417,830.75/x
  3. Step 3: Cross multiply
    686,102.75x = 946,821.80 × 417,830.75
  4. Step 4: Simplify right side
    686,102.75x = 395,611,262,810.35
  5. Step 5: Solve for x
    x = 395,611,262,810.35/686,102.75
  6. Step 6: Final answer
    x = 576,606.44

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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.