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Finding the Fourth Proportional to 300,716.83, 414,988.98 and 164,759.23

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Solution

The fourth proportional to 300,716.83, 414,988.98 and 164,759.23 is: 227,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716.83 : 414,988.98 = 164,759.23 : x
  2. Step 2: Convert to fraction form
    300,716.83/414,988.98 = 164,759.23/x
  3. Step 3: Cross multiply
    300,716.83x = 414,988.98 × 164,759.23
  4. Step 4: Simplify right side
    300,716.83x = 68,373,264,803.29
  5. Step 5: Solve for x
    x = 68,373,264,803.29/300,716.83
  6. Step 6: Final answer
    x = 227,367.60

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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.