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Finding the Fourth Proportional to 274,497.84, 411,878.04 and 154,650.24

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Solution

The fourth proportional to 274,497.84, 411,878.04 and 154,650.24 is: 232,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,497.84 : 411,878.04 = 154,650.24 : x
  2. Step 2: Convert to fraction form
    274,497.84/411,878.04 = 154,650.24/x
  3. Step 3: Cross multiply
    274,497.84x = 411,878.04 × 154,650.24
  4. Step 4: Simplify right side
    274,497.84x = 63,697,037,736.73
  5. Step 5: Solve for x
    x = 63,697,037,736.73/274,497.84
  6. Step 6: Final answer
    x = 232,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.