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Finding the Fourth Proportional to 398,082.70, 597,124.05 and 319,350.70

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Solution

The fourth proportional to 398,082.70, 597,124.05 and 319,350.70 is: 479,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,082.70 : 597,124.05 = 319,350.70 : x
  2. Step 2: Convert to fraction form
    398,082.70/597,124.05 = 319,350.70/x
  3. Step 3: Cross multiply
    398,082.70x = 597,124.05 × 319,350.70
  4. Step 4: Simplify right side
    398,082.70x = 190,691,983,354.34
  5. Step 5: Solve for x
    x = 190,691,983,354.34/398,082.70
  6. Step 6: Final answer
    x = 479,026.05

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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.