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Finding the Fourth Proportional to 664,598.70, 996,898.05 and 309,648.60

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Solution

The fourth proportional to 664,598.70, 996,898.05 and 309,648.60 is: 464,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,598.70 : 996,898.05 = 309,648.60 : x
  2. Step 2: Convert to fraction form
    664,598.70/996,898.05 = 309,648.60/x
  3. Step 3: Cross multiply
    664,598.70x = 996,898.05 × 309,648.60
  4. Step 4: Simplify right side
    664,598.70x = 308,688,085,525.23
  5. Step 5: Solve for x
    x = 308,688,085,525.23/664,598.70
  6. Step 6: Final answer
    x = 464,472.90

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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.