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Finding the Fourth Proportional to 374,411.84, 516,687.44 and 204,647.18

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Solution

The fourth proportional to 374,411.84, 516,687.44 and 204,647.18 is: 282,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,411.84 : 516,687.44 = 204,647.18 : x
  2. Step 2: Convert to fraction form
    374,411.84/516,687.44 = 204,647.18/x
  3. Step 3: Cross multiply
    374,411.84x = 516,687.44 × 204,647.18
  4. Step 4: Simplify right side
    374,411.84x = 105,738,623,930.75
  5. Step 5: Solve for x
    x = 105,738,623,930.75/374,411.84
  6. Step 6: Final answer
    x = 282,412.61

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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.