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Finding the Fourth Proportional to 463,232.32, 694,904.54 and 163,651.59

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Solution

The fourth proportional to 463,232.32, 694,904.54 and 163,651.59 is: 245,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,232.32 : 694,904.54 = 163,651.59 : x
  2. Step 2: Convert to fraction form
    463,232.32/694,904.54 = 163,651.59/x
  3. Step 3: Cross multiply
    463,232.32x = 694,904.54 × 163,651.59
  4. Step 4: Simplify right side
    463,232.32x = 113,722,232,869.22
  5. Step 5: Solve for x
    x = 113,722,232,869.22/463,232.32
  6. Step 6: Final answer
    x = 245,497.19

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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.