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Finding the Fourth Proportional to 686,101.25, 946,819.73 and 417,829.25

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Solution

The fourth proportional to 686,101.25, 946,819.73 and 417,829.25 is: 576,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,101.25 : 946,819.73 = 417,829.25 : x
  2. Step 2: Convert to fraction form
    686,101.25/946,819.73 = 417,829.25/x
  3. Step 3: Cross multiply
    686,101.25x = 946,819.73 × 417,829.25
  4. Step 4: Simplify right side
    686,101.25x = 395,608,977,671.10
  5. Step 5: Solve for x
    x = 395,608,977,671.10/686,101.25
  6. Step 6: Final answer
    x = 576,604.37

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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.