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Finding the Fourth Proportional to 413,138.07, 619,657.89 and 113,649.07

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Solution

The fourth proportional to 413,138.07, 619,657.89 and 113,649.07 is: 170,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,138.07 : 619,657.89 = 113,649.07 : x
  2. Step 2: Convert to fraction form
    413,138.07/619,657.89 = 113,649.07/x
  3. Step 3: Cross multiply
    413,138.07x = 619,657.89 × 113,649.07
  4. Step 4: Simplify right side
    413,138.07x = 70,423,542,916.66
  5. Step 5: Solve for x
    x = 70,423,542,916.66/413,138.07
  6. Step 6: Final answer
    x = 170,460.07

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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.