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Finding the Fourth Proportional to 393,808.12, 590,683.62 and 153,876.92

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Solution

The fourth proportional to 393,808.12, 590,683.62 and 153,876.92 is: 230,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,808.12 : 590,683.62 = 153,876.92 : x
  2. Step 2: Convert to fraction form
    393,808.12/590,683.62 = 153,876.92/x
  3. Step 3: Cross multiply
    393,808.12x = 590,683.62 × 153,876.92
  4. Step 4: Simplify right side
    393,808.12x = 90,892,576,140.05
  5. Step 5: Solve for x
    x = 90,892,576,140.05/393,808.12
  6. Step 6: Final answer
    x = 230,804.22

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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.