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Finding the Fourth Proportional to 399,571.60, 599,355.76 and 189,357.16

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Solution

The fourth proportional to 399,571.60, 599,355.76 and 189,357.16 is: 284,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,571.60 : 599,355.76 = 189,357.16 : x
  2. Step 2: Convert to fraction form
    399,571.60/599,355.76 = 189,357.16/x
  3. Step 3: Cross multiply
    399,571.60x = 599,355.76 × 189,357.16
  4. Step 4: Simplify right side
    399,571.60x = 113,492,304,543.24
  5. Step 5: Solve for x
    x = 113,492,304,543.24/399,571.60
  6. Step 6: Final answer
    x = 284,034.96

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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.