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Finding the Fourth Proportional to 328,145.60, 491,181.60 and 257,643.20

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Solution

The fourth proportional to 328,145.60, 491,181.60 and 257,643.20 is: 385,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,145.60 : 491,181.60 = 257,643.20 : x
  2. Step 2: Convert to fraction form
    328,145.60/491,181.60 = 257,643.20/x
  3. Step 3: Cross multiply
    328,145.60x = 491,181.60 × 257,643.20
  4. Step 4: Simplify right side
    328,145.60x = 126,549,599,205.12
  5. Step 5: Solve for x
    x = 126,549,599,205.12/328,145.60
  6. Step 6: Final answer
    x = 385,650.76

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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.