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Finding the Fourth Proportional to 442,414.84, 610,553.82 and 248,883.16

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Solution

The fourth proportional to 442,414.84, 610,553.82 and 248,883.16 is: 343,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,414.84 : 610,553.82 = 248,883.16 : x
  2. Step 2: Convert to fraction form
    442,414.84/610,553.82 = 248,883.16/x
  3. Step 3: Cross multiply
    442,414.84x = 610,553.82 × 248,883.16
  4. Step 4: Simplify right side
    442,414.84x = 151,956,564,071.67
  5. Step 5: Solve for x
    x = 151,956,564,071.67/442,414.84
  6. Step 6: Final answer
    x = 343,470.77

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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.