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Finding the Fourth Proportional to 446,642.40, 669,733.20 and 166,015.20

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Solution

The fourth proportional to 446,642.40, 669,733.20 and 166,015.20 is: 248,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,642.40 : 669,733.20 = 166,015.20 : x
  2. Step 2: Convert to fraction form
    446,642.40/669,733.20 = 166,015.20/x
  3. Step 3: Cross multiply
    446,642.40x = 669,733.20 × 166,015.20
  4. Step 4: Simplify right side
    446,642.40x = 111,185,891,144.64
  5. Step 5: Solve for x
    x = 111,185,891,144.64/446,642.40
  6. Step 6: Final answer
    x = 248,937.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.