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Finding the Fourth Proportional to 429,759.34, 644,644.95 and 114,214.66

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Solution

The fourth proportional to 429,759.34, 644,644.95 and 114,214.66 is: 171,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,759.34 : 644,644.95 = 114,214.66 : x
  2. Step 2: Convert to fraction form
    429,759.34/644,644.95 = 114,214.66/x
  3. Step 3: Cross multiply
    429,759.34x = 644,644.95 × 114,214.66
  4. Step 4: Simplify right side
    429,759.34x = 73,627,903,784.97
  5. Step 5: Solve for x
    x = 73,627,903,784.97/429,759.34
  6. Step 6: Final answer
    x = 171,323.57

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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.