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Finding the Fourth Proportional to 543,899.29, 750,537.01 and 314,471.31

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Solution

The fourth proportional to 543,899.29, 750,537.01 and 314,471.31 is: 433,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,899.29 : 750,537.01 = 314,471.31 : x
  2. Step 2: Convert to fraction form
    543,899.29/750,537.01 = 314,471.31/x
  3. Step 3: Cross multiply
    543,899.29x = 750,537.01 × 314,471.31
  4. Step 4: Simplify right side
    543,899.29x = 236,022,356,738.18
  5. Step 5: Solve for x
    x = 236,022,356,738.18/543,899.29
  6. Step 6: Final answer
    x = 433,944.96

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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.