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Finding the Fourth Proportional to 733,356.50, 1,012,078.73 and 411,066.68

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Solution

The fourth proportional to 733,356.50, 1,012,078.73 and 411,066.68 is: 567,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,356.50 : 1,012,078.73 = 411,066.68 : x
  2. Step 2: Convert to fraction form
    733,356.50/1,012,078.73 = 411,066.68/x
  3. Step 3: Cross multiply
    733,356.50x = 1,012,078.73 × 411,066.68
  4. Step 4: Simplify right side
    733,356.50x = 416,031,839,406.99
  5. Step 5: Solve for x
    x = 416,031,839,406.99/733,356.50
  6. Step 6: Final answer
    x = 567,298.23

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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.