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Finding the Fourth Proportional to 413,361.94, 619,883.49 and 160,609.15

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Solution

The fourth proportional to 413,361.94, 619,883.49 and 160,609.15 is: 240,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,361.94 : 619,883.49 = 160,609.15 : x
  2. Step 2: Convert to fraction form
    413,361.94/619,883.49 = 160,609.15/x
  3. Step 3: Cross multiply
    413,361.94x = 619,883.49 × 160,609.15
  4. Step 4: Simplify right side
    413,361.94x = 99,558,960,427.93
  5. Step 5: Solve for x
    x = 99,558,960,427.93/413,361.94
  6. Step 6: Final answer
    x = 240,851.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.