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Finding the Fourth Proportional to 297,212.36, 410,092.42 and 176,300.68

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Solution

The fourth proportional to 297,212.36, 410,092.42 and 176,300.68 is: 243,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,212.36 : 410,092.42 = 176,300.68 : x
  2. Step 2: Convert to fraction form
    297,212.36/410,092.42 = 176,300.68/x
  3. Step 3: Cross multiply
    297,212.36x = 410,092.42 × 176,300.68
  4. Step 4: Simplify right side
    297,212.36x = 72,299,572,508.85
  5. Step 5: Solve for x
    x = 72,299,572,508.85/297,212.36
  6. Step 6: Final answer
    x = 243,258.97

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1.5x scale

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.