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Finding the Fourth Proportional to 285,529.80, 428,294.70 and 272,407.80

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Solution

The fourth proportional to 285,529.80, 428,294.70 and 272,407.80 is: 408,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,529.80 : 428,294.70 = 272,407.80 : x
  2. Step 2: Convert to fraction form
    285,529.80/428,294.70 = 272,407.80/x
  3. Step 3: Cross multiply
    285,529.80x = 428,294.70 × 272,407.80
  4. Step 4: Simplify right side
    285,529.80x = 116,670,816,978.66
  5. Step 5: Solve for x
    x = 116,670,816,978.66/285,529.80
  6. Step 6: Final answer
    x = 408,611.70

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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.