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Finding the Fourth Proportional to 459,769.23, 689,310.24 and 317,207.70

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Solution

The fourth proportional to 459,769.23, 689,310.24 and 317,207.70 is: 475,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769.23 : 689,310.24 = 317,207.70 : x
  2. Step 2: Convert to fraction form
    459,769.23/689,310.24 = 317,207.70/x
  3. Step 3: Cross multiply
    459,769.23x = 689,310.24 × 317,207.70
  4. Step 4: Simplify right side
    459,769.23x = 218,654,519,242.44
  5. Step 5: Solve for x
    x = 218,654,519,242.44/459,769.23
  6. Step 6: Final answer
    x = 475,574.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.