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Finding the Fourth Proportional to 462,857.44, 694,036.40 and 209,999.92

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Solution

The fourth proportional to 462,857.44, 694,036.40 and 209,999.92 is: 314,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,857.44 : 694,036.40 = 209,999.92 : x
  2. Step 2: Convert to fraction form
    462,857.44/694,036.40 = 209,999.92/x
  3. Step 3: Cross multiply
    462,857.44x = 694,036.40 × 209,999.92
  4. Step 4: Simplify right side
    462,857.44x = 145,747,588,477.09
  5. Step 5: Solve for x
    x = 145,747,588,477.09/462,857.44
  6. Step 6: Final answer
    x = 314,886.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.