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Finding the Fourth Proportional to 399,602.16, 599,698.20 and 189,239.76

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Solution

The fourth proportional to 399,602.16, 599,698.20 and 189,239.76 is: 283,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,602.16 : 599,698.20 = 189,239.76 : x
  2. Step 2: Convert to fraction form
    399,602.16/599,698.20 = 189,239.76/x
  3. Step 3: Cross multiply
    399,602.16x = 599,698.20 × 189,239.76
  4. Step 4: Simplify right side
    399,602.16x = 113,486,743,440.43
  5. Step 5: Solve for x
    x = 113,486,743,440.43/399,602.16
  6. Step 6: Final answer
    x = 283,999.32

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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.