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Finding the Fourth Proportional to 285,539.40, 427,848.30 and 180,169.80

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Solution

The fourth proportional to 285,539.40, 427,848.30 and 180,169.80 is: 269,963.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,539.40 : 427,848.30 = 180,169.80 : x
  2. Step 2: Convert to fraction form
    285,539.40/427,848.30 = 180,169.80/x
  3. Step 3: Cross multiply
    285,539.40x = 427,848.30 × 180,169.80
  4. Step 4: Simplify right side
    285,539.40x = 77,085,342,641.34
  5. Step 5: Solve for x
    x = 77,085,342,641.34/285,539.40
  6. Step 6: Final answer
    x = 269,963.94

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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.