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Finding the Fourth Proportional to 652,816.11, 978,509.93 and 279,061.23

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Solution

The fourth proportional to 652,816.11, 978,509.93 and 279,061.23 is: 418,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,816.11 : 978,509.93 = 279,061.23 : x
  2. Step 2: Convert to fraction form
    652,816.11/978,509.93 = 279,061.23/x
  3. Step 3: Cross multiply
    652,816.11x = 978,509.93 × 279,061.23
  4. Step 4: Simplify right side
    652,816.11x = 273,064,183,237.71
  5. Step 5: Solve for x
    x = 273,064,183,237.71/652,816.11
  6. Step 6: Final answer
    x = 418,286.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.