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Finding the Fourth Proportional to 300,711.54, 414,967.20 and 164,746.16

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Solution

The fourth proportional to 300,711.54, 414,967.20 and 164,746.16 is: 227,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,711.54 : 414,967.20 = 164,746.16 : x
  2. Step 2: Convert to fraction form
    300,711.54/414,967.20 = 164,746.16/x
  3. Step 3: Cross multiply
    300,711.54x = 414,967.20 × 164,746.16
  4. Step 4: Simplify right side
    300,711.54x = 68,364,252,725.95
  5. Step 5: Solve for x
    x = 68,364,252,725.95/300,711.54
  6. Step 6: Final answer
    x = 227,341.63

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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.