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Finding the Fourth Proportional to 394,499.84, 544,423.68 and 224,760.32

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Solution

The fourth proportional to 394,499.84, 544,423.68 and 224,760.32 is: 310,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,499.84 : 544,423.68 = 224,760.32 : x
  2. Step 2: Convert to fraction form
    394,499.84/544,423.68 = 224,760.32/x
  3. Step 3: Cross multiply
    394,499.84x = 544,423.68 × 224,760.32
  4. Step 4: Simplify right side
    394,499.84x = 122,364,840,532.38
  5. Step 5: Solve for x
    x = 122,364,840,532.38/394,499.84
  6. Step 6: Final answer
    x = 310,177.16

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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.