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Finding the Fourth Proportional to 369,996.87, 510,597.29 and 200,231.01

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Solution

The fourth proportional to 369,996.87, 510,597.29 and 200,231.01 is: 276,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,996.87 : 510,597.29 = 200,231.01 : x
  2. Step 2: Convert to fraction form
    369,996.87/510,597.29 = 200,231.01/x
  3. Step 3: Cross multiply
    369,996.87x = 510,597.29 × 200,231.01
  4. Step 4: Simplify right side
    369,996.87x = 102,237,411,079.96
  5. Step 5: Solve for x
    x = 102,237,411,079.96/369,996.87
  6. Step 6: Final answer
    x = 276,319.66

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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.