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Finding the Fourth Proportional to 532,964.98, 735,460.42 and 291,249.43

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Solution

The fourth proportional to 532,964.98, 735,460.42 and 291,249.43 is: 401,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,964.98 : 735,460.42 = 291,249.43 : x
  2. Step 2: Convert to fraction form
    532,964.98/735,460.42 = 291,249.43/x
  3. Step 3: Cross multiply
    532,964.98x = 735,460.42 × 291,249.43
  4. Step 4: Simplify right side
    532,964.98x = 214,202,428,112.56
  5. Step 5: Solve for x
    x = 214,202,428,112.56/532,964.98
  6. Step 6: Final answer
    x = 401,907.13

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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.