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Finding the Fourth Proportional to 511,497.16, 705,840.42 and 285,098.92

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Solution

The fourth proportional to 511,497.16, 705,840.42 and 285,098.92 is: 393,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,497.16 : 705,840.42 = 285,098.92 : x
  2. Step 2: Convert to fraction form
    511,497.16/705,840.42 = 285,098.92/x
  3. Step 3: Cross multiply
    511,497.16x = 705,840.42 × 285,098.92
  4. Step 4: Simplify right side
    511,497.16x = 201,234,341,434.35
  5. Step 5: Solve for x
    x = 201,234,341,434.35/511,497.16
  6. Step 6: Final answer
    x = 393,422.21

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