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Finding the Fourth Proportional to 468,082.60, 702,123.90 and 397,223.80

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Solution

The fourth proportional to 468,082.60, 702,123.90 and 397,223.80 is: 595,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,082.60 : 702,123.90 = 397,223.80 : x
  2. Step 2: Convert to fraction form
    468,082.60/702,123.90 = 397,223.80/x
  3. Step 3: Cross multiply
    468,082.60x = 702,123.90 × 397,223.80
  4. Step 4: Simplify right side
    468,082.60x = 278,900,323,628.82
  5. Step 5: Solve for x
    x = 278,900,323,628.82/468,082.60
  6. Step 6: Final answer
    x = 595,835.70

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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.