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Finding the Fourth Proportional to 300,007.68, 414,024.96 and 165,880.32

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Solution

The fourth proportional to 300,007.68, 414,024.96 and 165,880.32 is: 228,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,007.68 : 414,024.96 = 165,880.32 : x
  2. Step 2: Convert to fraction form
    300,007.68/414,024.96 = 165,880.32/x
  3. Step 3: Cross multiply
    300,007.68x = 414,024.96 × 165,880.32
  4. Step 4: Simplify right side
    300,007.68x = 68,678,592,852.79
  5. Step 5: Solve for x
    x = 68,678,592,852.79/300,007.68
  6. Step 6: Final answer
    x = 228,922.78

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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.