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Finding the Fourth Proportional to 466,111.94, 643,238.97 and 264,909.38

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Solution

The fourth proportional to 466,111.94, 643,238.97 and 264,909.38 is: 365,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,111.94 : 643,238.97 = 264,909.38 : x
  2. Step 2: Convert to fraction form
    466,111.94/643,238.97 = 264,909.38/x
  3. Step 3: Cross multiply
    466,111.94x = 643,238.97 × 264,909.38
  4. Step 4: Simplify right side
    466,111.94x = 170,400,036,734.54
  5. Step 5: Solve for x
    x = 170,400,036,734.54/466,111.94
  6. Step 6: Final answer
    x = 365,577.50

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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.