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Finding the Fourth Proportional to 429,395.58, 644,093.37 and 113,877.09

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Solution

The fourth proportional to 429,395.58, 644,093.37 and 113,877.09 is: 170,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,395.58 : 644,093.37 = 113,877.09 : x
  2. Step 2: Convert to fraction form
    429,395.58/644,093.37 = 113,877.09/x
  3. Step 3: Cross multiply
    429,395.58x = 644,093.37 × 113,877.09
  4. Step 4: Simplify right side
    429,395.58x = 73,347,478,663.89
  5. Step 5: Solve for x
    x = 73,347,478,663.89/429,395.58
  6. Step 6: Final answer
    x = 170,815.64

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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.