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Finding the Fourth Proportional to 403,358.64, 605,054.71 and 119,049.24

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Solution

The fourth proportional to 403,358.64, 605,054.71 and 119,049.24 is: 178,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,358.64 : 605,054.71 = 119,049.24 : x
  2. Step 2: Convert to fraction form
    403,358.64/605,054.71 = 119,049.24/x
  3. Step 3: Cross multiply
    403,358.64x = 605,054.71 × 119,049.24
  4. Step 4: Simplify right side
    403,358.64x = 72,031,305,801.69
  5. Step 5: Solve for x
    x = 72,031,305,801.69/403,358.64
  6. Step 6: Final answer
    x = 178,578.81

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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.