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Finding the Fourth Proportional to 284,756.84, 393,046.44 and 188,031.32

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Solution

The fourth proportional to 284,756.84, 393,046.44 and 188,031.32 is: 259,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,756.84 : 393,046.44 = 188,031.32 : x
  2. Step 2: Convert to fraction form
    284,756.84/393,046.44 = 188,031.32/x
  3. Step 3: Cross multiply
    284,756.84x = 393,046.44 × 188,031.32
  4. Step 4: Simplify right side
    284,756.84x = 73,905,040,934.50
  5. Step 5: Solve for x
    x = 73,905,040,934.50/284,756.84
  6. Step 6: Final answer
    x = 259,537.37

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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.