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Finding the Fourth Proportional to 583,614.72, 805,450.32 and 342,100.26

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Solution

The fourth proportional to 583,614.72, 805,450.32 and 342,100.26 is: 472,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,614.72 : 805,450.32 = 342,100.26 : x
  2. Step 2: Convert to fraction form
    583,614.72/805,450.32 = 342,100.26/x
  3. Step 3: Cross multiply
    583,614.72x = 805,450.32 × 342,100.26
  4. Step 4: Simplify right side
    583,614.72x = 275,544,763,889.08
  5. Step 5: Solve for x
    x = 275,544,763,889.08/583,614.72
  6. Step 6: Final answer
    x = 472,134.71

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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.