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Finding the Fourth Proportional to 468,705.87, 646,853.90 and 264,794.18

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Solution

The fourth proportional to 468,705.87, 646,853.90 and 264,794.18 is: 365,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,705.87 : 646,853.90 = 264,794.18 : x
  2. Step 2: Convert to fraction form
    468,705.87/646,853.90 = 264,794.18/x
  3. Step 3: Cross multiply
    468,705.87x = 646,853.90 × 264,794.18
  4. Step 4: Simplify right side
    468,705.87x = 171,283,143,472.06
  5. Step 5: Solve for x
    x = 171,283,143,472.06/468,705.87
  6. Step 6: Final answer
    x = 365,438.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.