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Finding the Fourth Proportional to 532,712.56, 735,115.26 and 290,991.64

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Solution

The fourth proportional to 532,712.56, 735,115.26 and 290,991.64 is: 401,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,712.56 : 735,115.26 = 290,991.64 : x
  2. Step 2: Convert to fraction form
    532,712.56/735,115.26 = 290,991.64/x
  3. Step 3: Cross multiply
    532,712.56x = 735,115.26 × 290,991.64
  4. Step 4: Simplify right side
    532,712.56x = 213,912,395,096.43
  5. Step 5: Solve for x
    x = 213,912,395,096.43/532,712.56
  6. Step 6: Final answer
    x = 401,553.13

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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.