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Finding the Fourth Proportional to 254,607.34, 381,861.78 and 241,962.84

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Solution

The fourth proportional to 254,607.34, 381,861.78 and 241,962.84 is: 362,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,607.34 : 381,861.78 = 241,962.84 : x
  2. Step 2: Convert to fraction form
    254,607.34/381,861.78 = 241,962.84/x
  3. Step 3: Cross multiply
    254,607.34x = 381,861.78 × 241,962.84
  4. Step 4: Simplify right side
    254,607.34x = 92,396,360,776.26
  5. Step 5: Solve for x
    x = 92,396,360,776.26/254,607.34
  6. Step 6: Final answer
    x = 362,897.47

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Why These Related Problems?

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