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Finding the Fourth Proportional to 535,269.16, 738,634.65 and 293,546.43

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Solution

The fourth proportional to 535,269.16, 738,634.65 and 293,546.43 is: 405,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,269.16 : 738,634.65 = 293,546.43 : x
  2. Step 2: Convert to fraction form
    535,269.16/738,634.65 = 293,546.43/x
  3. Step 3: Cross multiply
    535,269.16x = 738,634.65 × 293,546.43
  4. Step 4: Simplify right side
    535,269.16x = 216,823,563,481.00
  5. Step 5: Solve for x
    x = 216,823,563,481.00/535,269.16
  6. Step 6: Final answer
    x = 405,073.89

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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.