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Finding the Fourth Proportional to 328,839.58, 493,220.76 and 92,201.32

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Solution

The fourth proportional to 328,839.58, 493,220.76 and 92,201.32 is: 138,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,839.58 : 493,220.76 = 92,201.32 : x
  2. Step 2: Convert to fraction form
    328,839.58/493,220.76 = 92,201.32/x
  3. Step 3: Cross multiply
    328,839.58x = 493,220.76 × 92,201.32
  4. Step 4: Simplify right side
    328,839.58x = 45,475,605,123.40
  5. Step 5: Solve for x
    x = 45,475,605,123.40/328,839.58
  6. Step 6: Final answer
    x = 138,291.15

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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.