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Finding the Fourth Proportional to 597,719.92, 896,793 and 298,174

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Solution

The fourth proportional to 597,719.92, 896,793 and 298,174 is: 447,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,719.92 : 896,793 = 298,174 : x
  2. Step 2: Convert to fraction form
    597,719.92/896,793 = 298,174/x
  3. Step 3: Cross multiply
    597,719.92x = 896,793 × 298,174
  4. Step 4: Simplify right side
    597,719.92x = 267,400,355,982
  5. Step 5: Solve for x
    x = 267,400,355,982/597,719.92
  6. Step 6: Final answer
    x = 447,367.32

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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.