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Finding the Fourth Proportional to 393,643.40, 590,061.90 and 193,656.20

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Solution

The fourth proportional to 393,643.40, 590,061.90 and 193,656.20 is: 290,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.40 : 590,061.90 = 193,656.20 : x
  2. Step 2: Convert to fraction form
    393,643.40/590,061.90 = 193,656.20/x
  3. Step 3: Cross multiply
    393,643.40x = 590,061.90 × 193,656.20
  4. Step 4: Simplify right side
    393,643.40x = 114,269,145,318.78
  5. Step 5: Solve for x
    x = 114,269,145,318.78/393,643.40
  6. Step 6: Final answer
    x = 290,285.94

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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.