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Finding the Fourth Proportional to 532,600.56, 734,956.24 and 290,834

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Solution

The fourth proportional to 532,600.56, 734,956.24 and 290,834 is: 401,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,600.56 : 734,956.24 = 290,834 : x
  2. Step 2: Convert to fraction form
    532,600.56/734,956.24 = 290,834/x
  3. Step 3: Cross multiply
    532,600.56x = 734,956.24 × 290,834
  4. Step 4: Simplify right side
    532,600.56x = 213,750,263,104.16
  5. Step 5: Solve for x
    x = 213,750,263,104.16/532,600.56
  6. Step 6: Final answer
    x = 401,333.16

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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.