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Finding the Fourth Proportional to 314,100.22, 433,486.42 and 185,039.88

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Solution

The fourth proportional to 314,100.22, 433,486.42 and 185,039.88 is: 255,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,100.22 : 433,486.42 = 185,039.88 : x
  2. Step 2: Convert to fraction form
    314,100.22/433,486.42 = 185,039.88/x
  3. Step 3: Cross multiply
    314,100.22x = 433,486.42 × 185,039.88
  4. Step 4: Simplify right side
    314,100.22x = 80,212,275,138.43
  5. Step 5: Solve for x
    x = 80,212,275,138.43/314,100.22
  6. Step 6: Final answer
    x = 255,371.60

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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.