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Finding the Fourth Proportional to 354,141.40, 531,212.10 and 327,314.20

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Solution

The fourth proportional to 354,141.40, 531,212.10 and 327,314.20 is: 490,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,141.40 : 531,212.10 = 327,314.20 : x
  2. Step 2: Convert to fraction form
    354,141.40/531,212.10 = 327,314.20/x
  3. Step 3: Cross multiply
    354,141.40x = 531,212.10 × 327,314.20
  4. Step 4: Simplify right side
    354,141.40x = 173,873,263,541.82
  5. Step 5: Solve for x
    x = 173,873,263,541.82/354,141.40
  6. Step 6: Final answer
    x = 490,971.30

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1.5x scale

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.