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Finding the Fourth Proportional to 429,334.01, 644,296.29 and 148,851.26

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Solution

The fourth proportional to 429,334.01, 644,296.29 and 148,851.26 is: 223,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,334.01 : 644,296.29 = 148,851.26 : x
  2. Step 2: Convert to fraction form
    429,334.01/644,296.29 = 148,851.26/x
  3. Step 3: Cross multiply
    429,334.01x = 644,296.29 × 148,851.26
  4. Step 4: Simplify right side
    429,334.01x = 95,904,317,538.68
  5. Step 5: Solve for x
    x = 95,904,317,538.68/429,334.01
  6. Step 6: Final answer
    x = 223,379.27

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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.