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Finding the Fourth Proportional to 515,710.20, 711,644.40 and 286,249.44

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Solution

The fourth proportional to 515,710.20, 711,644.40 and 286,249.44 is: 395,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,710.20 : 711,644.40 = 286,249.44 : x
  2. Step 2: Convert to fraction form
    515,710.20/711,644.40 = 286,249.44/x
  3. Step 3: Cross multiply
    515,710.20x = 711,644.40 × 286,249.44
  4. Step 4: Simplify right side
    515,710.20x = 203,707,810,979.14
  5. Step 5: Solve for x
    x = 203,707,810,979.14/515,710.20
  6. Step 6: Final answer
    x = 395,004.42

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1.5x scale

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.