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Finding the Fourth Proportional to 413,011.93, 619,524.73 and 113,490.66

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Solution

The fourth proportional to 413,011.93, 619,524.73 and 113,490.66 is: 170,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,011.93 : 619,524.73 = 113,490.66 : x
  2. Step 2: Convert to fraction form
    413,011.93/619,524.73 = 113,490.66/x
  3. Step 3: Cross multiply
    413,011.93x = 619,524.73 × 113,490.66
  4. Step 4: Simplify right side
    413,011.93x = 70,310,272,326.56
  5. Step 5: Solve for x
    x = 70,310,272,326.56/413,011.93
  6. Step 6: Final answer
    x = 170,237.87

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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.