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Finding the Fourth Proportional to 315,773.64, 436,058.64 and 202,793.22

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Solution

The fourth proportional to 315,773.64, 436,058.64 and 202,793.22 is: 280,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,773.64 : 436,058.64 = 202,793.22 : x
  2. Step 2: Convert to fraction form
    315,773.64/436,058.64 = 202,793.22/x
  3. Step 3: Cross multiply
    315,773.64x = 436,058.64 × 202,793.22
  4. Step 4: Simplify right side
    315,773.64x = 88,429,735,714.42
  5. Step 5: Solve for x
    x = 88,429,735,714.42/315,773.64
  6. Step 6: Final answer
    x = 280,041.54

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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.