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Finding the Fourth Proportional to 413,249.24, 619,801.27 and 113,657.58

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Solution

The fourth proportional to 413,249.24, 619,801.27 and 113,657.58 is: 170,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,249.24 : 619,801.27 = 113,657.58 : x
  2. Step 2: Convert to fraction form
    413,249.24/619,801.27 = 113,657.58/x
  3. Step 3: Cross multiply
    413,249.24x = 619,801.27 × 113,657.58
  4. Step 4: Simplify right side
    413,249.24x = 70,445,112,144.98
  5. Step 5: Solve for x
    x = 70,445,112,144.98/413,249.24
  6. Step 6: Final answer
    x = 170,466.40

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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.