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Finding the Fourth Proportional to 297,768, 410,919.84 and 163,632

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Solution

The fourth proportional to 297,768, 410,919.84 and 163,632 is: 225,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,768 : 410,919.84 = 163,632 : x
  2. Step 2: Convert to fraction form
    297,768/410,919.84 = 163,632/x
  3. Step 3: Cross multiply
    297,768x = 410,919.84 × 163,632
  4. Step 4: Simplify right side
    297,768x = 67,239,635,258.88
  5. Step 5: Solve for x
    x = 67,239,635,258.88/297,768
  6. Step 6: Final answer
    x = 225,812.16

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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.