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Finding the Fourth Proportional to 517,809.70, 775,719.46 and 317,546.11

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Solution

The fourth proportional to 517,809.70, 775,719.46 and 317,546.11 is: 475,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,809.70 : 775,719.46 = 317,546.11 : x
  2. Step 2: Convert to fraction form
    517,809.70/775,719.46 = 317,546.11/x
  3. Step 3: Cross multiply
    517,809.70x = 775,719.46 × 317,546.11
  4. Step 4: Simplify right side
    517,809.70x = 246,326,696,974.30
  5. Step 5: Solve for x
    x = 246,326,696,974.30/517,809.70
  6. Step 6: Final answer
    x = 475,708.93

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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.