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Finding the Fourth Proportional to 523,981.72, 785,315.22 and 224,110.36

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Solution

The fourth proportional to 523,981.72, 785,315.22 and 224,110.36 is: 335,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,981.72 : 785,315.22 = 224,110.36 : x
  2. Step 2: Convert to fraction form
    523,981.72/785,315.22 = 224,110.36/x
  3. Step 3: Cross multiply
    523,981.72x = 785,315.22 × 224,110.36
  4. Step 4: Simplify right side
    523,981.72x = 175,997,276,667.68
  5. Step 5: Solve for x
    x = 175,997,276,667.68/523,981.72
  6. Step 6: Final answer
    x = 335,884.38

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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.