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Finding the Fourth Proportional to 429,878.70, 644,817.24 and 114,335.94

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Solution

The fourth proportional to 429,878.70, 644,817.24 and 114,335.94 is: 171,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,878.70 : 644,817.24 = 114,335.94 : x
  2. Step 2: Convert to fraction form
    429,878.70/644,817.24 = 114,335.94/x
  3. Step 3: Cross multiply
    429,878.70x = 644,817.24 × 114,335.94
  4. Step 4: Simplify right side
    429,878.70x = 73,725,785,263.61
  5. Step 5: Solve for x
    x = 73,725,785,263.61/429,878.70
  6. Step 6: Final answer
    x = 171,503.69

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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.