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Finding the Fourth Proportional to 329,608.10, 493,756.05 and 171,925.40

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Solution

The fourth proportional to 329,608.10, 493,756.05 and 171,925.40 is: 257,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,608.10 : 493,756.05 = 171,925.40 : x
  2. Step 2: Convert to fraction form
    329,608.10/493,756.05 = 171,925.40/x
  3. Step 3: Cross multiply
    329,608.10x = 493,756.05 × 171,925.40
  4. Step 4: Simplify right side
    329,608.10x = 84,889,206,398.67
  5. Step 5: Solve for x
    x = 84,889,206,398.67/329,608.10
  6. Step 6: Final answer
    x = 257,545.87

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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.