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Finding the Fourth Proportional to 299,319.66, 413,057.46 and 163,355.88

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Solution

The fourth proportional to 299,319.66, 413,057.46 and 163,355.88 is: 225,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,319.66 : 413,057.46 = 163,355.88 : x
  2. Step 2: Convert to fraction form
    299,319.66/413,057.46 = 163,355.88/x
  3. Step 3: Cross multiply
    299,319.66x = 413,057.46 × 163,355.88
  4. Step 4: Simplify right side
    299,319.66x = 67,475,364,868.86
  5. Step 5: Solve for x
    x = 67,475,364,868.86/299,319.66
  6. Step 6: Final answer
    x = 225,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.