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Finding the Fourth Proportional to 409,120.48, 564,295.44 and 273,085.84

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Solution

The fourth proportional to 409,120.48, 564,295.44 and 273,085.84 is: 376,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,120.48 : 564,295.44 = 273,085.84 : x
  2. Step 2: Convert to fraction form
    409,120.48/564,295.44 = 273,085.84/x
  3. Step 3: Cross multiply
    409,120.48x = 564,295.44 × 273,085.84
  4. Step 4: Simplify right side
    409,120.48x = 154,101,094,240.57
  5. Step 5: Solve for x
    x = 154,101,094,240.57/409,120.48
  6. Step 6: Final answer
    x = 376,664.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.