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Finding the Fourth Proportional to 413,137.07, 619,656.39 and 113,648.07

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Solution

The fourth proportional to 413,137.07, 619,656.39 and 113,648.07 is: 170,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,137.07 : 619,656.39 = 113,648.07 : x
  2. Step 2: Convert to fraction form
    413,137.07/619,656.39 = 113,648.07/x
  3. Step 3: Cross multiply
    413,137.07x = 619,656.39 × 113,648.07
  4. Step 4: Simplify right side
    413,137.07x = 70,422,755,110.38
  5. Step 5: Solve for x
    x = 70,422,755,110.38/413,137.07
  6. Step 6: Final answer
    x = 170,458.57

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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.