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Finding the Fourth Proportional to 273,790.61, 409,686.77 and 161,524.61

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Solution

The fourth proportional to 273,790.61, 409,686.77 and 161,524.61 is: 241,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,790.61 : 409,686.77 = 161,524.61 : x
  2. Step 2: Convert to fraction form
    273,790.61/409,686.77 = 161,524.61/x
  3. Step 3: Cross multiply
    273,790.61x = 409,686.77 × 161,524.61
  4. Step 4: Simplify right side
    273,790.61x = 66,174,495,746.41
  5. Step 5: Solve for x
    x = 66,174,495,746.41/273,790.61
  6. Step 6: Final answer
    x = 241,697.46

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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.