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Finding the Fourth Proportional to 306,297.60, 458,409.60 and 268,972.80

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Solution

The fourth proportional to 306,297.60, 458,409.60 and 268,972.80 is: 402,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,297.60 : 458,409.60 = 268,972.80 : x
  2. Step 2: Convert to fraction form
    306,297.60/458,409.60 = 268,972.80/x
  3. Step 3: Cross multiply
    306,297.60x = 458,409.60 × 268,972.80
  4. Step 4: Simplify right side
    306,297.60x = 123,299,713,658.88
  5. Step 5: Solve for x
    x = 123,299,713,658.88/306,297.60
  6. Step 6: Final answer
    x = 402,548.74

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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.