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Finding the Fourth Proportional to 284,678, 392,855.64 and 171,524.24

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Solution

The fourth proportional to 284,678, 392,855.64 and 171,524.24 is: 236,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,678 : 392,855.64 = 171,524.24 : x
  2. Step 2: Convert to fraction form
    284,678/392,855.64 = 171,524.24/x
  3. Step 3: Cross multiply
    284,678x = 392,855.64 × 171,524.24
  4. Step 4: Simplify right side
    284,678x = 67,384,265,080.71
  5. Step 5: Solve for x
    x = 67,384,265,080.71/284,678
  6. Step 6: Final answer
    x = 236,703.45

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