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Finding the Fourth Proportional to 313,494.22, 432,754.32 and 211,657.54

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Solution

The fourth proportional to 313,494.22, 432,754.32 and 211,657.54 is: 292,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,494.22 : 432,754.32 = 211,657.54 : x
  2. Step 2: Convert to fraction form
    313,494.22/432,754.32 = 211,657.54/x
  3. Step 3: Cross multiply
    313,494.22x = 432,754.32 × 211,657.54
  4. Step 4: Simplify right side
    313,494.22x = 91,595,714,795.57
  5. Step 5: Solve for x
    x = 91,595,714,795.57/313,494.22
  6. Step 6: Final answer
    x = 292,176.73

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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.