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Finding the Fourth Proportional to 557,984.80, 837,084.92 and 238,132

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Solution

The fourth proportional to 557,984.80, 837,084.92 and 238,132 is: 357,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,984.80 : 837,084.92 = 238,132 : x
  2. Step 2: Convert to fraction form
    557,984.80/837,084.92 = 238,132/x
  3. Step 3: Cross multiply
    557,984.80x = 837,084.92 × 238,132
  4. Step 4: Simplify right side
    557,984.80x = 199,336,706,169.44
  5. Step 5: Solve for x
    x = 199,336,706,169.44/557,984.80
  6. Step 6: Final answer
    x = 357,243.97

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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.