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Finding the Fourth Proportional to 467,775.30, 700,467.39 and 257,181.78

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Solution

The fourth proportional to 467,775.30, 700,467.39 and 257,181.78 is: 385,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,775.30 : 700,467.39 = 257,181.78 : x
  2. Step 2: Convert to fraction form
    467,775.30/700,467.39 = 257,181.78/x
  3. Step 3: Cross multiply
    467,775.30x = 700,467.39 × 257,181.78
  4. Step 4: Simplify right side
    467,775.30x = 180,147,450,192.15
  5. Step 5: Solve for x
    x = 180,147,450,192.15/467,775.30
  6. Step 6: Final answer
    x = 385,115.35

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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.