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Finding the Fourth Proportional to 500,872.16, 691,204.38 and 294,100.58

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Solution

The fourth proportional to 500,872.16, 691,204.38 and 294,100.58 is: 405,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,872.16 : 691,204.38 = 294,100.58 : x
  2. Step 2: Convert to fraction form
    500,872.16/691,204.38 = 294,100.58/x
  3. Step 3: Cross multiply
    500,872.16x = 691,204.38 × 294,100.58
  4. Step 4: Simplify right side
    500,872.16x = 203,283,609,056.54
  5. Step 5: Solve for x
    x = 203,283,609,056.54/500,872.16
  6. Step 6: Final answer
    x = 405,859.27

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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.