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Finding the Fourth Proportional to 393,466.32, 590,386.16 and 203,891.24

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Solution

The fourth proportional to 393,466.32, 590,386.16 and 203,891.24 is: 305,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,466.32 : 590,386.16 = 203,891.24 : x
  2. Step 2: Convert to fraction form
    393,466.32/590,386.16 = 203,891.24/x
  3. Step 3: Cross multiply
    393,466.32x = 590,386.16 × 203,891.24
  4. Step 4: Simplify right side
    393,466.32x = 120,374,568,226.93
  5. Step 5: Solve for x
    x = 120,374,568,226.93/393,466.32
  6. Step 6: Final answer
    x = 305,933.60

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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.