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Finding the Fourth Proportional to 413,162.54, 619,641.74 and 113,628.58

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Solution

The fourth proportional to 413,162.54, 619,641.74 and 113,628.58 is: 170,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,162.54 : 619,641.74 = 113,628.58 : x
  2. Step 2: Convert to fraction form
    413,162.54/619,641.74 = 113,628.58/x
  3. Step 3: Cross multiply
    413,162.54x = 619,641.74 × 113,628.58
  4. Step 4: Simplify right side
    413,162.54x = 70,409,011,024.93
  5. Step 5: Solve for x
    x = 70,409,011,024.93/413,162.54
  6. Step 6: Final answer
    x = 170,414.80

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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.