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Finding the Fourth Proportional to 322,144.36, 444,492.90 and 186,129.64

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Solution

The fourth proportional to 322,144.36, 444,492.90 and 186,129.64 is: 256,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,144.36 : 444,492.90 = 186,129.64 : x
  2. Step 2: Convert to fraction form
    322,144.36/444,492.90 = 186,129.64/x
  3. Step 3: Cross multiply
    322,144.36x = 444,492.90 × 186,129.64
  4. Step 4: Simplify right side
    322,144.36x = 82,733,303,459.56
  5. Step 5: Solve for x
    x = 82,733,303,459.56/322,144.36
  6. Step 6: Final answer
    x = 256,820.59

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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.