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Finding the Fourth Proportional to 413,718.49, 620,565.38 and 114,217.35

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Solution

The fourth proportional to 413,718.49, 620,565.38 and 114,217.35 is: 171,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,718.49 : 620,565.38 = 114,217.35 : x
  2. Step 2: Convert to fraction form
    413,718.49/620,565.38 = 114,217.35/x
  3. Step 3: Cross multiply
    413,718.49x = 620,565.38 × 114,217.35
  4. Step 4: Simplify right side
    413,718.49x = 70,879,333,205.34
  5. Step 5: Solve for x
    x = 70,879,333,205.34/413,718.49
  6. Step 6: Final answer
    x = 171,322.61

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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.