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Finding the Fourth Proportional to 511,497.66, 705,841.11 and 285,099.42

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Solution

The fourth proportional to 511,497.66, 705,841.11 and 285,099.42 is: 393,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,497.66 : 705,841.11 = 285,099.42 : x
  2. Step 2: Convert to fraction form
    511,497.66/705,841.11 = 285,099.42/x
  3. Step 3: Cross multiply
    511,497.66x = 705,841.11 × 285,099.42
  4. Step 4: Simplify right side
    511,497.66x = 201,234,891,073.16
  5. Step 5: Solve for x
    x = 201,234,891,073.16/511,497.66
  6. Step 6: Final answer
    x = 393,422.90

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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.