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Finding the Fourth Proportional to 406,321.52, 560,537.56 and 263,127.72

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Solution

The fourth proportional to 406,321.52, 560,537.56 and 263,127.72 is: 362,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,321.52 : 560,537.56 = 263,127.72 : x
  2. Step 2: Convert to fraction form
    406,321.52/560,537.56 = 263,127.72/x
  3. Step 3: Cross multiply
    406,321.52x = 560,537.56 × 263,127.72
  4. Step 4: Simplify right side
    406,321.52x = 147,492,970,137.16
  5. Step 5: Solve for x
    x = 147,492,970,137.16/406,321.52
  6. Step 6: Final answer
    x = 362,995.71

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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.