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Finding the Fourth Proportional to 413,447.13, 620,058.79 and 113,856.48

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Solution

The fourth proportional to 413,447.13, 620,058.79 and 113,856.48 is: 170,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,447.13 : 620,058.79 = 113,856.48 : x
  2. Step 2: Convert to fraction form
    413,447.13/620,058.79 = 113,856.48/x
  3. Step 3: Cross multiply
    413,447.13x = 620,058.79 × 113,856.48
  4. Step 4: Simplify right side
    413,447.13x = 70,597,710,653.18
  5. Step 5: Solve for x
    x = 70,597,710,653.18/413,447.13
  6. Step 6: Final answer
    x = 170,753.90

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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.