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Finding the Fourth Proportional to 515,952.24, 711,975.03 and 289,554

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Solution

The fourth proportional to 515,952.24, 711,975.03 and 289,554 is: 399,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,952.24 : 711,975.03 = 289,554 : x
  2. Step 2: Convert to fraction form
    515,952.24/711,975.03 = 289,554/x
  3. Step 3: Cross multiply
    515,952.24x = 711,975.03 × 289,554
  4. Step 4: Simplify right side
    515,952.24x = 206,155,217,836.62
  5. Step 5: Solve for x
    x = 206,155,217,836.62/515,952.24
  6. Step 6: Final answer
    x = 399,562.60

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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.