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Finding the Fourth Proportional to 512,054.85, 706,621.01 and 285,695.49

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Solution

The fourth proportional to 512,054.85, 706,621.01 and 285,695.49 is: 394,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,054.85 : 706,621.01 = 285,695.49 : x
  2. Step 2: Convert to fraction form
    512,054.85/706,621.01 = 285,695.49/x
  3. Step 3: Cross multiply
    512,054.85x = 706,621.01 × 285,695.49
  4. Step 4: Simplify right side
    512,054.85x = 201,878,434,267.77
  5. Step 5: Solve for x
    x = 201,878,434,267.77/512,054.85
  6. Step 6: Final answer
    x = 394,251.58

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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.