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Finding the Fourth Proportional to 299,227.34, 412,873.22 and 190,374.90

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Solution

The fourth proportional to 299,227.34, 412,873.22 and 190,374.90 is: 262,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,227.34 : 412,873.22 = 190,374.90 : x
  2. Step 2: Convert to fraction form
    299,227.34/412,873.22 = 190,374.90/x
  3. Step 3: Cross multiply
    299,227.34x = 412,873.22 × 190,374.90
  4. Step 4: Simplify right side
    299,227.34x = 78,600,697,970.18
  5. Step 5: Solve for x
    x = 78,600,697,970.18/299,227.34
  6. Step 6: Final answer
    x = 262,678.86

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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.