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Finding the Fourth Proportional to 399,593.16, 599,684.70 and 189,230.76

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Solution

The fourth proportional to 399,593.16, 599,684.70 and 189,230.76 is: 283,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,593.16 : 599,684.70 = 189,230.76 : x
  2. Step 2: Convert to fraction form
    399,593.16/599,684.70 = 189,230.76/x
  3. Step 3: Cross multiply
    399,593.16x = 599,684.70 × 189,230.76
  4. Step 4: Simplify right side
    399,593.16x = 113,478,791,541.37
  5. Step 5: Solve for x
    x = 113,478,791,541.37/399,593.16
  6. Step 6: Final answer
    x = 283,985.82

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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.