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Finding the Fourth Proportional to 385,426.96, 577,906.32 and 193,077.68

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Solution

The fourth proportional to 385,426.96, 577,906.32 and 193,077.68 is: 289,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,426.96 : 577,906.32 = 193,077.68 : x
  2. Step 2: Convert to fraction form
    385,426.96/577,906.32 = 193,077.68/x
  3. Step 3: Cross multiply
    385,426.96x = 577,906.32 × 193,077.68
  4. Step 4: Simplify right side
    385,426.96x = 111,580,811,522.94
  5. Step 5: Solve for x
    x = 111,580,811,522.94/385,426.96
  6. Step 6: Final answer
    x = 289,499.24

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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.