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Finding the Fourth Proportional to 511,496.16, 705,839.04 and 285,097.92

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Solution

The fourth proportional to 511,496.16, 705,839.04 and 285,097.92 is: 393,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,496.16 : 705,839.04 = 285,097.92 : x
  2. Step 2: Convert to fraction form
    511,496.16/705,839.04 = 285,097.92/x
  3. Step 3: Cross multiply
    511,496.16x = 705,839.04 × 285,097.92
  4. Step 4: Simplify right side
    511,496.16x = 201,233,242,158.80
  5. Step 5: Solve for x
    x = 201,233,242,158.80/511,496.16
  6. Step 6: Final answer
    x = 393,420.83

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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.