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Finding the Fourth Proportional to 413,024.81, 619,544.06 and 113,503.58

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Solution

The fourth proportional to 413,024.81, 619,544.06 and 113,503.58 is: 170,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,024.81 : 619,544.06 = 113,503.58 : x
  2. Step 2: Convert to fraction form
    413,024.81/619,544.06 = 113,503.58/x
  3. Step 3: Cross multiply
    413,024.81x = 619,544.06 × 113,503.58
  4. Step 4: Simplify right side
    413,024.81x = 70,320,467,861.43
  5. Step 5: Solve for x
    x = 70,320,467,861.43/413,024.81
  6. Step 6: Final answer
    x = 170,257.25

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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.