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Finding the Fourth Proportional to 297,544, 410,610.72 and 163,416.64

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Solution

The fourth proportional to 297,544, 410,610.72 and 163,416.64 is: 225,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,544 : 410,610.72 = 163,416.64 : x
  2. Step 2: Convert to fraction form
    297,544/410,610.72 = 163,416.64/x
  3. Step 3: Cross multiply
    297,544x = 410,610.72 × 163,416.64
  4. Step 4: Simplify right side
    297,544x = 67,100,624,210.38
  5. Step 5: Solve for x
    x = 67,100,624,210.38/297,544
  6. Step 6: Final answer
    x = 225,514.96

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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.