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Finding the Fourth Proportional to 213,625.60, 320,438.40 and 178,892.80

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Solution

The fourth proportional to 213,625.60, 320,438.40 and 178,892.80 is: 268,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,625.60 : 320,438.40 = 178,892.80 : x
  2. Step 2: Convert to fraction form
    213,625.60/320,438.40 = 178,892.80/x
  3. Step 3: Cross multiply
    213,625.60x = 320,438.40 × 178,892.80
  4. Step 4: Simplify right side
    213,625.60x = 57,324,122,603.52
  5. Step 5: Solve for x
    x = 57,324,122,603.52/213,625.60
  6. Step 6: Final answer
    x = 268,339.20

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1.5x scale

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.