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Finding the Fourth Proportional to 517,177.98, 713,737.71 and 287,786.45

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Solution

The fourth proportional to 517,177.98, 713,737.71 and 287,786.45 is: 397,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,177.98 : 713,737.71 = 287,786.45 : x
  2. Step 2: Convert to fraction form
    517,177.98/713,737.71 = 287,786.45/x
  3. Step 3: Cross multiply
    517,177.98x = 713,737.71 × 287,786.45
  4. Step 4: Simplify right side
    517,177.98x = 205,404,041,792.03
  5. Step 5: Solve for x
    x = 205,404,041,792.03/517,177.98
  6. Step 6: Final answer
    x = 397,163.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.