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Finding the Fourth Proportional to 296,145.20, 443,926.20 and 146,408.60

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Solution

The fourth proportional to 296,145.20, 443,926.20 and 146,408.60 is: 219,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,145.20 : 443,926.20 = 146,408.60 : x
  2. Step 2: Convert to fraction form
    296,145.20/443,926.20 = 146,408.60/x
  3. Step 3: Cross multiply
    296,145.20x = 443,926.20 × 146,408.60
  4. Step 4: Simplify right side
    296,145.20x = 64,994,613,445.32
  5. Step 5: Solve for x
    x = 64,994,613,445.32/296,145.20
  6. Step 6: Final answer
    x = 219,468.74

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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.