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Finding the Fourth Proportional to 292,608.72, 403,737.48 and 206,822.16

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Solution

The fourth proportional to 292,608.72, 403,737.48 and 206,822.16 is: 285,370.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,608.72 : 403,737.48 = 206,822.16 : x
  2. Step 2: Convert to fraction form
    292,608.72/403,737.48 = 206,822.16/x
  3. Step 3: Cross multiply
    292,608.72x = 403,737.48 × 206,822.16
  4. Step 4: Simplify right side
    292,608.72x = 83,501,857,686.56
  5. Step 5: Solve for x
    x = 83,501,857,686.56/292,608.72
  6. Step 6: Final answer
    x = 285,370.37

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1.5x scale

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.