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Finding the Fourth Proportional to 466,218.30, 643,380.33 and 262,269.38

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Solution

The fourth proportional to 466,218.30, 643,380.33 and 262,269.38 is: 361,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,218.30 : 643,380.33 = 262,269.38 : x
  2. Step 2: Convert to fraction form
    466,218.30/643,380.33 = 262,269.38/x
  3. Step 3: Cross multiply
    466,218.30x = 643,380.33 × 262,269.38
  4. Step 4: Simplify right side
    466,218.30x = 168,738,958,941.95
  5. Step 5: Solve for x
    x = 168,738,958,941.95/466,218.30
  6. Step 6: Final answer
    x = 361,931.22

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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.