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Finding the Fourth Proportional to 339,102.64, 508,658.80 and 102,447.36

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Solution

The fourth proportional to 339,102.64, 508,658.80 and 102,447.36 is: 153,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,102.64 : 508,658.80 = 102,447.36 : x
  2. Step 2: Convert to fraction form
    339,102.64/508,658.80 = 102,447.36/x
  3. Step 3: Cross multiply
    339,102.64x = 508,658.80 × 102,447.36
  4. Step 4: Simplify right side
    339,102.64x = 52,110,751,200.77
  5. Step 5: Solve for x
    x = 52,110,751,200.77/339,102.64
  6. Step 6: Final answer
    x = 153,672.50

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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.