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Finding the Fourth Proportional to 466,105, 643,225.62 and 264,901

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Solution

The fourth proportional to 466,105, 643,225.62 and 264,901 is: 365,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,105 : 643,225.62 = 264,901 : x
  2. Step 2: Convert to fraction form
    466,105/643,225.62 = 264,901/x
  3. Step 3: Cross multiply
    466,105x = 643,225.62 × 264,901
  4. Step 4: Simplify right side
    466,105x = 170,391,109,963.62
  5. Step 5: Solve for x
    x = 170,391,109,963.62/466,105
  6. Step 6: Final answer
    x = 365,563.79

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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.