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Finding the Fourth Proportional to 406,036.50, 560,201.52 and 236,237.82

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Solution

The fourth proportional to 406,036.50, 560,201.52 and 236,237.82 is: 325,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,036.50 : 560,201.52 = 236,237.82 : x
  2. Step 2: Convert to fraction form
    406,036.50/560,201.52 = 236,237.82/x
  3. Step 3: Cross multiply
    406,036.50x = 560,201.52 × 236,237.82
  4. Step 4: Simplify right side
    406,036.50x = 132,340,785,845.49
  5. Step 5: Solve for x
    x = 132,340,785,845.49/406,036.50
  6. Step 6: Final answer
    x = 325,933.22

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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.