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Finding the Fourth Proportional to 426,334.60, 639,732.30 and 189,713.80

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Solution

The fourth proportional to 426,334.60, 639,732.30 and 189,713.80 is: 284,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,334.60 : 639,732.30 = 189,713.80 : x
  2. Step 2: Convert to fraction form
    426,334.60/639,732.30 = 189,713.80/x
  3. Step 3: Cross multiply
    426,334.60x = 639,732.30 × 189,713.80
  4. Step 4: Simplify right side
    426,334.60x = 121,366,045,615.74
  5. Step 5: Solve for x
    x = 121,366,045,615.74/426,334.60
  6. Step 6: Final answer
    x = 284,673.23

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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.