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Finding the Fourth Proportional to 274,497.46, 409,877.72 and 242,207.43

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Solution

The fourth proportional to 274,497.46, 409,877.72 and 242,207.43 is: 361,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,497.46 : 409,877.72 = 242,207.43 : x
  2. Step 2: Convert to fraction form
    274,497.46/409,877.72 = 242,207.43/x
  3. Step 3: Cross multiply
    274,497.46x = 409,877.72 × 242,207.43
  4. Step 4: Simplify right side
    274,497.46x = 99,275,429,175.46
  5. Step 5: Solve for x
    x = 99,275,429,175.46/274,497.46
  6. Step 6: Final answer
    x = 361,662.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.