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Finding the Fourth Proportional to 511,563.60, 705,935.88 and 285,207.12

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Solution

The fourth proportional to 511,563.60, 705,935.88 and 285,207.12 is: 393,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,563.60 : 705,935.88 = 285,207.12 : x
  2. Step 2: Convert to fraction form
    511,563.60/705,935.88 = 285,207.12/x
  3. Step 3: Cross multiply
    511,563.60x = 705,935.88 × 285,207.12
  4. Step 4: Simplify right side
    511,563.60x = 201,337,939,239.47
  5. Step 5: Solve for x
    x = 201,337,939,239.47/511,563.60
  6. Step 6: Final answer
    x = 393,573.62

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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.