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Finding the Fourth Proportional to 523,661, 785,553.01 and 186,749.55

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Solution

The fourth proportional to 523,661, 785,553.01 and 186,749.55 is: 280,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,661 : 785,553.01 = 186,749.55 : x
  2. Step 2: Convert to fraction form
    523,661/785,553.01 = 186,749.55/x
  3. Step 3: Cross multiply
    523,661x = 785,553.01 × 186,749.55
  4. Step 4: Simplify right side
    523,661x = 146,701,667,190.88
  5. Step 5: Solve for x
    x = 146,701,667,190.88/523,661
  6. Step 6: Final answer
    x = 280,146.25

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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.