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Finding the Fourth Proportional to 424,221.94, 585,424.83 and 233,234.74

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Solution

The fourth proportional to 424,221.94, 585,424.83 and 233,234.74 is: 321,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,221.94 : 585,424.83 = 233,234.74 : x
  2. Step 2: Convert to fraction form
    424,221.94/585,424.83 = 233,234.74/x
  3. Step 3: Cross multiply
    424,221.94x = 585,424.83 × 233,234.74
  4. Step 4: Simplify right side
    424,221.94x = 136,541,408,014.59
  5. Step 5: Solve for x
    x = 136,541,408,014.59/424,221.94
  6. Step 6: Final answer
    x = 321,863.15

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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.