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Finding the Fourth Proportional to 354,149.82, 530,838.16 and 174,358.98

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Solution

The fourth proportional to 354,149.82, 530,838.16 and 174,358.98 is: 261,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.82 : 530,838.16 = 174,358.98 : x
  2. Step 2: Convert to fraction form
    354,149.82/530,838.16 = 174,358.98/x
  3. Step 3: Cross multiply
    354,149.82x = 530,838.16 × 174,358.98
  4. Step 4: Simplify right side
    354,149.82x = 92,556,399,686.78
  5. Step 5: Solve for x
    x = 92,556,399,686.78/354,149.82
  6. Step 6: Final answer
    x = 261,348.15

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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.