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Finding the Fourth Proportional to 647,595.72, 971,306.07 and 174,309.48

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Solution

The fourth proportional to 647,595.72, 971,306.07 and 174,309.48 is: 261,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,595.72 : 971,306.07 = 174,309.48 : x
  2. Step 2: Convert to fraction form
    647,595.72/971,306.07 = 174,309.48/x
  3. Step 3: Cross multiply
    647,595.72x = 971,306.07 × 174,309.48
  4. Step 4: Simplify right side
    647,595.72x = 169,307,855,982.54
  5. Step 5: Solve for x
    x = 169,307,855,982.54/647,595.72
  6. Step 6: Final answer
    x = 261,440.67

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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.