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Finding the Fourth Proportional to 382,214.40, 573,580.80 and 248,769.60

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Solution

The fourth proportional to 382,214.40, 573,580.80 and 248,769.60 is: 373,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,214.40 : 573,580.80 = 248,769.60 : x
  2. Step 2: Convert to fraction form
    382,214.40/573,580.80 = 248,769.60/x
  3. Step 3: Cross multiply
    382,214.40x = 573,580.80 × 248,769.60
  4. Step 4: Simplify right side
    382,214.40x = 142,689,466,183.68
  5. Step 5: Solve for x
    x = 142,689,466,183.68/382,214.40
  6. Step 6: Final answer
    x = 373,323.10

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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.