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Finding the Fourth Proportional to 329,291.46, 454,443.21 and 201,949.74

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Solution

The fourth proportional to 329,291.46, 454,443.21 and 201,949.74 is: 278,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,291.46 : 454,443.21 = 201,949.74 : x
  2. Step 2: Convert to fraction form
    329,291.46/454,443.21 = 201,949.74/x
  3. Step 3: Cross multiply
    329,291.46x = 454,443.21 × 201,949.74
  4. Step 4: Simplify right side
    329,291.46x = 91,774,688,104.27
  5. Step 5: Solve for x
    x = 91,774,688,104.27/329,291.46
  6. Step 6: Final answer
    x = 278,703.52

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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.