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Finding the Fourth Proportional to 714,745.88, 986,349.31 and 412,939.88

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Solution

The fourth proportional to 714,745.88, 986,349.31 and 412,939.88 is: 569,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,745.88 : 986,349.31 = 412,939.88 : x
  2. Step 2: Convert to fraction form
    714,745.88/986,349.31 = 412,939.88/x
  3. Step 3: Cross multiply
    714,745.88x = 986,349.31 × 412,939.88
  4. Step 4: Simplify right side
    714,745.88x = 407,302,965,709.48
  5. Step 5: Solve for x
    x = 407,302,965,709.48/714,745.88
  6. Step 6: Final answer
    x = 569,857.03

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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.