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Finding the Fourth Proportional to 385,083.15, 577,132.65 and 184,972.65

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Solution

The fourth proportional to 385,083.15, 577,132.65 and 184,972.65 is: 277,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,083.15 : 577,132.65 = 184,972.65 : x
  2. Step 2: Convert to fraction form
    385,083.15/577,132.65 = 184,972.65/x
  3. Step 3: Cross multiply
    385,083.15x = 577,132.65 × 184,972.65
  4. Step 4: Simplify right side
    385,083.15x = 106,753,755,672.02
  5. Step 5: Solve for x
    x = 106,753,755,672.02/385,083.15
  6. Step 6: Final answer
    x = 277,222.61

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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.