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Finding the Fourth Proportional to 349,135.50, 523,733.64 and 96,416.31

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Solution

The fourth proportional to 349,135.50, 523,733.64 and 96,416.31 is: 144,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,135.50 : 523,733.64 = 96,416.31 : x
  2. Step 2: Convert to fraction form
    349,135.50/523,733.64 = 96,416.31/x
  3. Step 3: Cross multiply
    349,135.50x = 523,733.64 × 96,416.31
  4. Step 4: Simplify right side
    349,135.50x = 50,496,464,991.67
  5. Step 5: Solve for x
    x = 50,496,464,991.67/349,135.50
  6. Step 6: Final answer
    x = 144,632.86

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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.