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Finding the Fourth Proportional to 299,293.76, 413,014.56 and 165,154.88

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Solution

The fourth proportional to 299,293.76, 413,014.56 and 165,154.88 is: 227,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,293.76 : 413,014.56 = 165,154.88 : x
  2. Step 2: Convert to fraction form
    299,293.76/413,014.56 = 165,154.88/x
  3. Step 3: Cross multiply
    299,293.76x = 413,014.56 × 165,154.88
  4. Step 4: Simplify right side
    299,293.76x = 68,211,370,095.05
  5. Step 5: Solve for x
    x = 68,211,370,095.05/299,293.76
  6. Step 6: Final answer
    x = 227,907.76

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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.