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Finding the Fourth Proportional to 466,640.20, 698,210.70 and 309,176.20

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Solution

The fourth proportional to 466,640.20, 698,210.70 and 309,176.20 is: 462,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,640.20 : 698,210.70 = 309,176.20 : x
  2. Step 2: Convert to fraction form
    466,640.20/698,210.70 = 309,176.20/x
  3. Step 3: Cross multiply
    466,640.20x = 698,210.70 × 309,176.20
  4. Step 4: Simplify right side
    466,640.20x = 215,870,131,025.34
  5. Step 5: Solve for x
    x = 215,870,131,025.34/466,640.20
  6. Step 6: Final answer
    x = 462,605.09

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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.