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Finding the Fourth Proportional to 300,531.52, 414,715.20 and 164,567.12

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Solution

The fourth proportional to 300,531.52, 414,715.20 and 164,567.12 is: 227,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,531.52 : 414,715.20 = 164,567.12 : x
  2. Step 2: Convert to fraction form
    300,531.52/414,715.20 = 164,567.12/x
  3. Step 3: Cross multiply
    300,531.52x = 414,715.20 × 164,567.12
  4. Step 4: Simplify right side
    300,531.52x = 68,248,486,084.22
  5. Step 5: Solve for x
    x = 68,248,486,084.22/300,531.52
  6. Step 6: Final answer
    x = 227,092.61

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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.