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Finding the Fourth Proportional to 297,206, 410,151.48 and 163,070

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Solution

The fourth proportional to 297,206, 410,151.48 and 163,070 is: 225,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,206 : 410,151.48 = 163,070 : x
  2. Step 2: Convert to fraction form
    297,206/410,151.48 = 163,070/x
  3. Step 3: Cross multiply
    297,206x = 410,151.48 × 163,070
  4. Step 4: Simplify right side
    297,206x = 66,883,401,843.60
  5. Step 5: Solve for x
    x = 66,883,401,843.60/297,206
  6. Step 6: Final answer
    x = 225,040.55

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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.