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Finding the Fourth Proportional to 406,033.50, 560,197.38 and 236,234.82

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Solution

The fourth proportional to 406,033.50, 560,197.38 and 236,234.82 is: 325,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,033.50 : 560,197.38 = 236,234.82 : x
  2. Step 2: Convert to fraction form
    406,033.50/560,197.38 = 236,234.82/x
  3. Step 3: Cross multiply
    406,033.50x = 560,197.38 × 236,234.82
  4. Step 4: Simplify right side
    406,033.50x = 132,338,127,228.77
  5. Step 5: Solve for x
    x = 132,338,127,228.77/406,033.50
  6. Step 6: Final answer
    x = 325,929.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.