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Finding the Fourth Proportional to 300,482.58, 414,649.53 and 164,490.22

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Solution

The fourth proportional to 300,482.58, 414,649.53 and 164,490.22 is: 226,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,482.58 : 414,649.53 = 164,490.22 : x
  2. Step 2: Convert to fraction form
    300,482.58/414,649.53 = 164,490.22/x
  3. Step 3: Cross multiply
    300,482.58x = 414,649.53 × 164,490.22
  4. Step 4: Simplify right side
    300,482.58x = 68,205,792,930.91
  5. Step 5: Solve for x
    x = 68,205,792,930.91/300,482.58
  6. Step 6: Final answer
    x = 226,987.51

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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.