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Finding the Fourth Proportional to 354,633.28, 532,105.88 and 186,114

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Solution

The fourth proportional to 354,633.28, 532,105.88 and 186,114 is: 279,252.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633.28 : 532,105.88 = 186,114 : x
  2. Step 2: Convert to fraction form
    354,633.28/532,105.88 = 186,114/x
  3. Step 3: Cross multiply
    354,633.28x = 532,105.88 × 186,114
  4. Step 4: Simplify right side
    354,633.28x = 99,032,353,750.32
  5. Step 5: Solve for x
    x = 99,032,353,750.32/354,633.28
  6. Step 6: Final answer
    x = 279,252.85

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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.