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Finding the Fourth Proportional to 413,718.74, 620,565.75 and 114,217.59

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Solution

The fourth proportional to 413,718.74, 620,565.75 and 114,217.59 is: 171,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,718.74 : 620,565.75 = 114,217.59 : x
  2. Step 2: Convert to fraction form
    413,718.74/620,565.75 = 114,217.59/x
  3. Step 3: Cross multiply
    413,718.74x = 620,565.75 × 114,217.59
  4. Step 4: Simplify right side
    413,718.74x = 70,879,524,401.54
  5. Step 5: Solve for x
    x = 70,879,524,401.54/413,718.74
  6. Step 6: Final answer
    x = 171,322.97

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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.