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Finding the Fourth Proportional to 267,657.40, 401,486.82 and 90,289

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Solution

The fourth proportional to 267,657.40, 401,486.82 and 90,289 is: 135,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,657.40 : 401,486.82 = 90,289 : x
  2. Step 2: Convert to fraction form
    267,657.40/401,486.82 = 90,289/x
  3. Step 3: Cross multiply
    267,657.40x = 401,486.82 × 90,289
  4. Step 4: Simplify right side
    267,657.40x = 36,249,843,490.98
  5. Step 5: Solve for x
    x = 36,249,843,490.98/267,657.40
  6. Step 6: Final answer
    x = 135,433.74

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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.