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Finding the Fourth Proportional to 329,535.94, 454,741.92 and 186,287.44

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Solution

The fourth proportional to 329,535.94, 454,741.92 and 186,287.44 is: 257,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,535.94 : 454,741.92 = 186,287.44 : x
  2. Step 2: Convert to fraction form
    329,535.94/454,741.92 = 186,287.44/x
  3. Step 3: Cross multiply
    329,535.94x = 454,741.92 × 186,287.44
  4. Step 4: Simplify right side
    329,535.94x = 84,712,708,137.48
  5. Step 5: Solve for x
    x = 84,712,708,137.48/329,535.94
  6. Step 6: Final answer
    x = 257,066.67

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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.