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Finding the Fourth Proportional to 256,101.60, 383,277.60 and 224,608.80

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Solution

The fourth proportional to 256,101.60, 383,277.60 and 224,608.80 is: 336,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.60 : 383,277.60 = 224,608.80 : x
  2. Step 2: Convert to fraction form
    256,101.60/383,277.60 = 224,608.80/x
  3. Step 3: Cross multiply
    256,101.60x = 383,277.60 × 224,608.80
  4. Step 4: Simplify right side
    256,101.60x = 86,087,521,802.88
  5. Step 5: Solve for x
    x = 86,087,521,802.88/256,101.60
  6. Step 6: Final answer
    x = 336,145.97

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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.