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Finding the Fourth Proportional to 380,092.89, 569,971.22 and 113,803.77

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Solution

The fourth proportional to 380,092.89, 569,971.22 and 113,803.77 is: 170,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,092.89 : 569,971.22 = 113,803.77 : x
  2. Step 2: Convert to fraction form
    380,092.89/569,971.22 = 113,803.77/x
  3. Step 3: Cross multiply
    380,092.89x = 569,971.22 × 113,803.77
  4. Step 4: Simplify right side
    380,092.89x = 64,864,875,195.87
  5. Step 5: Solve for x
    x = 64,864,875,195.87/380,092.89
  6. Step 6: Final answer
    x = 170,655.32

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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.