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Finding the Fourth Proportional to 309,327.80, 463,994.44 and 122,339.32

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Solution

The fourth proportional to 309,327.80, 463,994.44 and 122,339.32 is: 183,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,327.80 : 463,994.44 = 122,339.32 : x
  2. Step 2: Convert to fraction form
    309,327.80/463,994.44 = 122,339.32/x
  3. Step 3: Cross multiply
    309,327.80x = 463,994.44 × 122,339.32
  4. Step 4: Simplify right side
    309,327.80x = 56,764,764,273.38
  5. Step 5: Solve for x
    x = 56,764,764,273.38/309,327.80
  6. Step 6: Final answer
    x = 183,510.06

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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.