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Finding the Fourth Proportional to 365,471, 548,299.93 and 140,771.13

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Solution

The fourth proportional to 365,471, 548,299.93 and 140,771.13 is: 211,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,471 : 548,299.93 = 140,771.13 : x
  2. Step 2: Convert to fraction form
    365,471/548,299.93 = 140,771.13/x
  3. Step 3: Cross multiply
    365,471x = 548,299.93 × 140,771.13
  4. Step 4: Simplify right side
    365,471x = 77,184,800,725.02
  5. Step 5: Solve for x
    x = 77,184,800,725.02/365,471
  6. Step 6: Final answer
    x = 211,192.68

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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.