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Finding the Fourth Proportional to 429,221.95, 643,968.24 and 269,409.05

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Solution

The fourth proportional to 429,221.95, 643,968.24 and 269,409.05 is: 404,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,221.95 : 643,968.24 = 269,409.05 : x
  2. Step 2: Convert to fraction form
    429,221.95/643,968.24 = 269,409.05/x
  3. Step 3: Cross multiply
    429,221.95x = 643,968.24 × 269,409.05
  4. Step 4: Simplify right side
    429,221.95x = 173,490,868,548.73
  5. Step 5: Solve for x
    x = 173,490,868,548.73/429,221.95
  6. Step 6: Final answer
    x = 404,198.50

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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.