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Finding the Fourth Proportional to 297,446, 410,484.24 and 163,318.64

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Solution

The fourth proportional to 297,446, 410,484.24 and 163,318.64 is: 225,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,446 : 410,484.24 = 163,318.64 : x
  2. Step 2: Convert to fraction form
    297,446/410,484.24 = 163,318.64/x
  3. Step 3: Cross multiply
    297,446x = 410,484.24 × 163,318.64
  4. Step 4: Simplify right side
    297,446x = 67,039,727,818.23
  5. Step 5: Solve for x
    x = 67,039,727,818.23/297,446
  6. Step 6: Final answer
    x = 225,384.53

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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.