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Finding the Fourth Proportional to 733,960.02, 1,012,783.86 and 411,603.78

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Solution

The fourth proportional to 733,960.02, 1,012,783.86 and 411,603.78 is: 567,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,960.02 : 1,012,783.86 = 411,603.78 : x
  2. Step 2: Convert to fraction form
    733,960.02/1,012,783.86 = 411,603.78/x
  3. Step 3: Cross multiply
    733,960.02x = 1,012,783.86 × 411,603.78
  4. Step 4: Simplify right side
    733,960.02x = 416,865,665,098.99
  5. Step 5: Solve for x
    x = 416,865,665,098.99/733,960.02
  6. Step 6: Final answer
    x = 567,967.81

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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.