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Finding the Fourth Proportional to 297,054.54, 409,929.66 and 167,990.76

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Solution

The fourth proportional to 297,054.54, 409,929.66 and 167,990.76 is: 231,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,054.54 : 409,929.66 = 167,990.76 : x
  2. Step 2: Convert to fraction form
    297,054.54/409,929.66 = 167,990.76/x
  3. Step 3: Cross multiply
    297,054.54x = 409,929.66 × 167,990.76
  4. Step 4: Simplify right side
    297,054.54x = 68,864,395,129.94
  5. Step 5: Solve for x
    x = 68,864,395,129.94/297,054.54
  6. Step 6: Final answer
    x = 231,824.08

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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.