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Finding the Fourth Proportional to 526,677.53, 726,809.82 and 284,954.80

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Solution

The fourth proportional to 526,677.53, 726,809.82 and 284,954.80 is: 393,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,677.53 : 726,809.82 = 284,954.80 : x
  2. Step 2: Convert to fraction form
    526,677.53/726,809.82 = 284,954.80/x
  3. Step 3: Cross multiply
    526,677.53x = 726,809.82 × 284,954.80
  4. Step 4: Simplify right side
    526,677.53x = 207,107,946,896.14
  5. Step 5: Solve for x
    x = 207,107,946,896.14/526,677.53
  6. Step 6: Final answer
    x = 393,234.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.