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Finding the Fourth Proportional to 329,534.32, 454,764.36 and 186,285.82

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Solution

The fourth proportional to 329,534.32, 454,764.36 and 186,285.82 is: 257,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,534.32 : 454,764.36 = 186,285.82 : x
  2. Step 2: Convert to fraction form
    329,534.32/454,764.36 = 186,285.82/x
  3. Step 3: Cross multiply
    329,534.32x = 454,764.36 × 186,285.82
  4. Step 4: Simplify right side
    329,534.32x = 84,716,151,709.38
  5. Step 5: Solve for x
    x = 84,716,151,709.38/329,534.32
  6. Step 6: Final answer
    x = 257,078.39

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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.