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Finding the Fourth Proportional to 520,823.44, 781,297.67 and 183,794.50

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Solution

The fourth proportional to 520,823.44, 781,297.67 and 183,794.50 is: 275,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,823.44 : 781,297.67 = 183,794.50 : x
  2. Step 2: Convert to fraction form
    520,823.44/781,297.67 = 183,794.50/x
  3. Step 3: Cross multiply
    520,823.44x = 781,297.67 × 183,794.50
  4. Step 4: Simplify right side
    520,823.44x = 143,598,214,608.82
  5. Step 5: Solve for x
    x = 143,598,214,608.82/520,823.44
  6. Step 6: Final answer
    x = 275,713.81

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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.