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Finding the Fourth Proportional to 331,532.74, 497,298.66 and 153,942.64

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Solution

The fourth proportional to 331,532.74, 497,298.66 and 153,942.64 is: 230,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,532.74 : 497,298.66 = 153,942.64 : x
  2. Step 2: Convert to fraction form
    331,532.74/497,298.66 = 153,942.64/x
  3. Step 3: Cross multiply
    331,532.74x = 497,298.66 × 153,942.64
  4. Step 4: Simplify right side
    331,532.74x = 76,555,468,588.86
  5. Step 5: Solve for x
    x = 76,555,468,588.86/331,532.74
  6. Step 6: Final answer
    x = 230,913.75

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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.