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Finding the Fourth Proportional to 413,162.88, 619,747.05 and 113,675.10

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Solution

The fourth proportional to 413,162.88, 619,747.05 and 113,675.10 is: 170,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,162.88 : 619,747.05 = 113,675.10 : x
  2. Step 2: Convert to fraction form
    413,162.88/619,747.05 = 113,675.10/x
  3. Step 3: Cross multiply
    413,162.88x = 619,747.05 × 113,675.10
  4. Step 4: Simplify right side
    413,162.88x = 70,449,807,883.46
  5. Step 5: Solve for x
    x = 70,449,807,883.46/413,162.88
  6. Step 6: Final answer
    x = 170,513.40

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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.