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Finding the Fourth Proportional to 409,111.98, 564,283.71 and 273,077.34

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Solution

The fourth proportional to 409,111.98, 564,283.71 and 273,077.34 is: 376,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,111.98 : 564,283.71 = 273,077.34 : x
  2. Step 2: Convert to fraction form
    409,111.98/564,283.71 = 273,077.34/x
  3. Step 3: Cross multiply
    409,111.98x = 564,283.71 × 273,077.34
  4. Step 4: Simplify right side
    409,111.98x = 154,093,094,532.13
  5. Step 5: Solve for x
    x = 154,093,094,532.13/409,111.98
  6. Step 6: Final answer
    x = 376,652.61

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