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Finding the Fourth Proportional to 512,207.10, 766,561.05 and 470,216.70

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Solution

The fourth proportional to 512,207.10, 766,561.05 and 470,216.70 is: 703,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,207.10 : 766,561.05 = 470,216.70 : x
  2. Step 2: Convert to fraction form
    512,207.10/766,561.05 = 470,216.70/x
  3. Step 3: Cross multiply
    512,207.10x = 766,561.05 × 470,216.70
  4. Step 4: Simplify right side
    512,207.10x = 360,449,807,279.54
  5. Step 5: Solve for x
    x = 360,449,807,279.54/512,207.10
  6. Step 6: Final answer
    x = 703,718.88

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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.