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Finding the Fourth Proportional to 355,209.56, 532,814.34 and 144,863.96

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Solution

The fourth proportional to 355,209.56, 532,814.34 and 144,863.96 is: 217,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,209.56 : 532,814.34 = 144,863.96 : x
  2. Step 2: Convert to fraction form
    355,209.56/532,814.34 = 144,863.96/x
  3. Step 3: Cross multiply
    355,209.56x = 532,814.34 × 144,863.96
  4. Step 4: Simplify right side
    355,209.56x = 77,185,595,237.19
  5. Step 5: Solve for x
    x = 77,185,595,237.19/355,209.56
  6. Step 6: Final answer
    x = 217,295.94

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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.