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Finding the Fourth Proportional to 454,456.64, 627,484 and 293,405.76

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Solution

The fourth proportional to 454,456.64, 627,484 and 293,405.76 is: 405,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,456.64 : 627,484 = 293,405.76 : x
  2. Step 2: Convert to fraction form
    454,456.64/627,484 = 293,405.76/x
  3. Step 3: Cross multiply
    454,456.64x = 627,484 × 293,405.76
  4. Step 4: Simplify right side
    454,456.64x = 184,107,419,907.84
  5. Step 5: Solve for x
    x = 184,107,419,907.84/454,456.64
  6. Step 6: Final answer
    x = 405,115.48

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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.