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Finding the Fourth Proportional to 459,694.60, 689,930.70 and 207,363.40

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Solution

The fourth proportional to 459,694.60, 689,930.70 and 207,363.40 is: 311,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,694.60 : 689,930.70 = 207,363.40 : x
  2. Step 2: Convert to fraction form
    459,694.60/689,930.70 = 207,363.40/x
  3. Step 3: Cross multiply
    459,694.60x = 689,930.70 × 207,363.40
  4. Step 4: Simplify right side
    459,694.60x = 143,066,375,716.38
  5. Step 5: Solve for x
    x = 143,066,375,716.38/459,694.60
  6. Step 6: Final answer
    x = 311,220.48

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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.