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Finding the Fourth Proportional to 509,264.56, 766,943.50 and 463,864.48

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Solution

The fourth proportional to 509,264.56, 766,943.50 and 463,864.48 is: 698,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,264.56 : 766,943.50 = 463,864.48 : x
  2. Step 2: Convert to fraction form
    509,264.56/766,943.50 = 463,864.48/x
  3. Step 3: Cross multiply
    509,264.56x = 766,943.50 × 463,864.48
  4. Step 4: Simplify right side
    509,264.56x = 355,757,847,816.88
  5. Step 5: Solve for x
    x = 355,757,847,816.88/509,264.56
  6. Step 6: Final answer
    x = 698,571.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.