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Finding the Fourth Proportional to 293,904.83, 440,488.45 and 158,963.52

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Solution

The fourth proportional to 293,904.83, 440,488.45 and 158,963.52 is: 238,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,904.83 : 440,488.45 = 158,963.52 : x
  2. Step 2: Convert to fraction form
    293,904.83/440,488.45 = 158,963.52/x
  3. Step 3: Cross multiply
    293,904.83x = 440,488.45 × 158,963.52
  4. Step 4: Simplify right side
    293,904.83x = 70,021,591,534.08
  5. Step 5: Solve for x
    x = 70,021,591,534.08/293,904.83
  6. Step 6: Final answer
    x = 238,245.80

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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.