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Finding the Fourth Proportional to 394,335, 544,182.30 and 224,584.92

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Solution

The fourth proportional to 394,335, 544,182.30 and 224,584.92 is: 309,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,335 : 544,182.30 = 224,584.92 : x
  2. Step 2: Convert to fraction form
    394,335/544,182.30 = 224,584.92/x
  3. Step 3: Cross multiply
    394,335x = 544,182.30 × 224,584.92
  4. Step 4: Simplify right side
    394,335x = 122,215,138,310.92
  5. Step 5: Solve for x
    x = 122,215,138,310.92/394,335
  6. Step 6: Final answer
    x = 309,927.19

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1.5x scale

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.