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Finding the Fourth Proportional to 463,316.20, 694,391.10 and 410,828.20

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Solution

The fourth proportional to 463,316.20, 694,391.10 and 410,828.20 is: 615,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,316.20 : 694,391.10 = 410,828.20 : x
  2. Step 2: Convert to fraction form
    463,316.20/694,391.10 = 410,828.20/x
  3. Step 3: Cross multiply
    463,316.20x = 694,391.10 × 410,828.20
  4. Step 4: Simplify right side
    463,316.20x = 285,275,445,709.02
  5. Step 5: Solve for x
    x = 285,275,445,709.02/463,316.20
  6. Step 6: Final answer
    x = 615,725.17

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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.