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Finding the Fourth Proportional to 369,991.48, 510,588.24 and 200,225.64

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Solution

The fourth proportional to 369,991.48, 510,588.24 and 200,225.64 is: 276,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,991.48 : 510,588.24 = 200,225.64 : x
  2. Step 2: Convert to fraction form
    369,991.48/510,588.24 = 200,225.64/x
  3. Step 3: Cross multiply
    369,991.48x = 510,588.24 × 200,225.64
  4. Step 4: Simplify right side
    369,991.48x = 102,232,857,130.47
  5. Step 5: Solve for x
    x = 102,232,857,130.47/369,991.48
  6. Step 6: Final answer
    x = 276,311.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.