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Finding the Fourth Proportional to 277,026, 415,507.84 and 74,637.05

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Solution

The fourth proportional to 277,026, 415,507.84 and 74,637.05 is: 111,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,026 : 415,507.84 = 74,637.05 : x
  2. Step 2: Convert to fraction form
    277,026/415,507.84 = 74,637.05/x
  3. Step 3: Cross multiply
    277,026x = 415,507.84 × 74,637.05
  4. Step 4: Simplify right side
    277,026x = 31,012,279,429.47
  5. Step 5: Solve for x
    x = 31,012,279,429.47/277,026
  6. Step 6: Final answer
    x = 111,947.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.