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Finding the Fourth Proportional to 285,214.80, 427,822.20 and 272,092.80

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Solution

The fourth proportional to 285,214.80, 427,822.20 and 272,092.80 is: 408,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214.80 : 427,822.20 = 272,092.80 : x
  2. Step 2: Convert to fraction form
    285,214.80/427,822.20 = 272,092.80/x
  3. Step 3: Cross multiply
    285,214.80x = 427,822.20 × 272,092.80
  4. Step 4: Simplify right side
    285,214.80x = 116,407,340,300.16
  5. Step 5: Solve for x
    x = 116,407,340,300.16/285,214.80
  6. Step 6: Final answer
    x = 408,139.20

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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.