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Finding the Fourth Proportional to 831,698.69, 1,147,658.09 and 614,023.20

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Solution

The fourth proportional to 831,698.69, 1,147,658.09 and 614,023.20 is: 847,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,698.69 : 1,147,658.09 = 614,023.20 : x
  2. Step 2: Convert to fraction form
    831,698.69/1,147,658.09 = 614,023.20/x
  3. Step 3: Cross multiply
    831,698.69x = 1,147,658.09 × 614,023.20
  4. Step 4: Simplify right side
    831,698.69x = 704,688,689,857.57
  5. Step 5: Solve for x
    x = 704,688,689,857.57/831,698.69
  6. Step 6: Final answer
    x = 847,288.45

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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.