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Finding the Fourth Proportional to 300,482.64, 414,649.60 and 164,490.27

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Solution

The fourth proportional to 300,482.64, 414,649.60 and 164,490.27 is: 226,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,482.64 : 414,649.60 = 164,490.27 : x
  2. Step 2: Convert to fraction form
    300,482.64/414,649.60 = 164,490.27/x
  3. Step 3: Cross multiply
    300,482.64x = 414,649.60 × 164,490.27
  4. Step 4: Simplify right side
    300,482.64x = 68,205,824,659.39
  5. Step 5: Solve for x
    x = 68,205,824,659.39/300,482.64
  6. Step 6: Final answer
    x = 226,987.57

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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.