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Finding the Fourth Proportional to 523,249.47, 784,762.43 and 238,859.28

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Solution

The fourth proportional to 523,249.47, 784,762.43 and 238,859.28 is: 358,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,249.47 : 784,762.43 = 238,859.28 : x
  2. Step 2: Convert to fraction form
    523,249.47/784,762.43 = 238,859.28/x
  3. Step 3: Cross multiply
    523,249.47x = 784,762.43 × 238,859.28
  4. Step 4: Simplify right side
    523,249.47x = 187,447,787,806.55
  5. Step 5: Solve for x
    x = 187,447,787,806.55/523,249.47
  6. Step 6: Final answer
    x = 358,237.89

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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.