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Finding the Fourth Proportional to 256,679.88, 384,941.34 and 90,429

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Solution

The fourth proportional to 256,679.88, 384,941.34 and 90,429 is: 135,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,679.88 : 384,941.34 = 90,429 : x
  2. Step 2: Convert to fraction form
    256,679.88/384,941.34 = 90,429/x
  3. Step 3: Cross multiply
    256,679.88x = 384,941.34 × 90,429
  4. Step 4: Simplify right side
    256,679.88x = 34,809,860,434.86
  5. Step 5: Solve for x
    x = 34,809,860,434.86/256,679.88
  6. Step 6: Final answer
    x = 135,615.85

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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.