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Finding the Fourth Proportional to 275,114.40, 412,671.60 and 227,875.20

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Solution

The fourth proportional to 275,114.40, 412,671.60 and 227,875.20 is: 341,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,114.40 : 412,671.60 = 227,875.20 : x
  2. Step 2: Convert to fraction form
    275,114.40/412,671.60 = 227,875.20/x
  3. Step 3: Cross multiply
    275,114.40x = 412,671.60 × 227,875.20
  4. Step 4: Simplify right side
    275,114.40x = 94,037,623,384.32
  5. Step 5: Solve for x
    x = 94,037,623,384.32/275,114.40
  6. Step 6: Final answer
    x = 341,812.80

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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.