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Finding the Fourth Proportional to 300,009.68, 414,027.72 and 165,882.32

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Solution

The fourth proportional to 300,009.68, 414,027.72 and 165,882.32 is: 228,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,009.68 : 414,027.72 = 165,882.32 : x
  2. Step 2: Convert to fraction form
    300,009.68/414,027.72 = 165,882.32/x
  3. Step 3: Cross multiply
    300,009.68x = 414,027.72 × 165,882.32
  4. Step 4: Simplify right side
    300,009.68x = 68,679,878,737.91
  5. Step 5: Solve for x
    x = 68,679,878,737.91/300,009.68
  6. Step 6: Final answer
    x = 228,925.54

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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.