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Finding the Fourth Proportional to 400,150.14, 600,393.68 and 175,394.58

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Solution

The fourth proportional to 400,150.14, 600,393.68 and 175,394.58 is: 263,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,150.14 : 600,393.68 = 175,394.58 : x
  2. Step 2: Convert to fraction form
    400,150.14/600,393.68 = 175,394.58/x
  3. Step 3: Cross multiply
    400,150.14x = 600,393.68 × 175,394.58
  4. Step 4: Simplify right side
    400,150.14x = 105,305,797,338.25
  5. Step 5: Solve for x
    x = 105,305,797,338.25/400,150.14
  6. Step 6: Final answer
    x = 263,165.71

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1.5x scale

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.