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Finding the Fourth Proportional to 235,834.20, 353,472.66 and 233,203.32

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Solution

The fourth proportional to 235,834.20, 353,472.66 and 233,203.32 is: 349,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,834.20 : 353,472.66 = 233,203.32 : x
  2. Step 2: Convert to fraction form
    235,834.20/353,472.66 = 233,203.32/x
  3. Step 3: Cross multiply
    235,834.20x = 353,472.66 × 233,203.32
  4. Step 4: Simplify right side
    235,834.20x = 82,430,997,841.23
  5. Step 5: Solve for x
    x = 82,430,997,841.23/235,834.20
  6. Step 6: Final answer
    x = 349,529.45

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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.