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Finding the Fourth Proportional to 398,885.22, 598,323.22 and 114,582.74

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Solution

The fourth proportional to 398,885.22, 598,323.22 and 114,582.74 is: 171,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,885.22 : 598,323.22 = 114,582.74 : x
  2. Step 2: Convert to fraction form
    398,885.22/598,323.22 = 114,582.74/x
  3. Step 3: Cross multiply
    398,885.22x = 598,323.22 × 114,582.74
  4. Step 4: Simplify right side
    398,885.22x = 68,557,513,360.46
  5. Step 5: Solve for x
    x = 68,557,513,360.46/398,885.22
  6. Step 6: Final answer
    x = 171,872.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.