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Finding the Fourth Proportional to 299,021.60, 448,791.54 and 156,967.30

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Solution

The fourth proportional to 299,021.60, 448,791.54 and 156,967.30 is: 235,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,021.60 : 448,791.54 = 156,967.30 : x
  2. Step 2: Convert to fraction form
    299,021.60/448,791.54 = 156,967.30/x
  3. Step 3: Cross multiply
    299,021.60x = 448,791.54 × 156,967.30
  4. Step 4: Simplify right side
    299,021.60x = 70,445,596,296.64
  5. Step 5: Solve for x
    x = 70,445,596,296.64/299,021.60
  6. Step 6: Final answer
    x = 235,586.98

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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.