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Finding the Fourth Proportional to 309,458.40, 463,750.20 and 190,777.20

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Solution

The fourth proportional to 309,458.40, 463,750.20 and 190,777.20 is: 285,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,458.40 : 463,750.20 = 190,777.20 : x
  2. Step 2: Convert to fraction form
    309,458.40/463,750.20 = 190,777.20/x
  3. Step 3: Cross multiply
    309,458.40x = 463,750.20 × 190,777.20
  4. Step 4: Simplify right side
    309,458.40x = 88,472,964,655.44
  5. Step 5: Solve for x
    x = 88,472,964,655.44/309,458.40
  6. Step 6: Final answer
    x = 285,896.15

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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.