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Finding the Fourth Proportional to 296,191.83, 408,319.59 and 211,161.27

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Solution

The fourth proportional to 296,191.83, 408,319.59 and 211,161.27 is: 291,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,191.83 : 408,319.59 = 211,161.27 : x
  2. Step 2: Convert to fraction form
    296,191.83/408,319.59 = 211,161.27/x
  3. Step 3: Cross multiply
    296,191.83x = 408,319.59 × 211,161.27
  4. Step 4: Simplify right side
    296,191.83x = 86,221,283,190.28
  5. Step 5: Solve for x
    x = 86,221,283,190.28/296,191.83
  6. Step 6: Final answer
    x = 291,099.46

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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.