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Finding the Fourth Proportional to 229,114.40, 343,671.60 and 225,615.20

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Solution

The fourth proportional to 229,114.40, 343,671.60 and 225,615.20 is: 338,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114.40 : 343,671.60 = 225,615.20 : x
  2. Step 2: Convert to fraction form
    229,114.40/343,671.60 = 225,615.20/x
  3. Step 3: Cross multiply
    229,114.40x = 343,671.60 × 225,615.20
  4. Step 4: Simplify right side
    229,114.40x = 77,537,536,768.32
  5. Step 5: Solve for x
    x = 77,537,536,768.32/229,114.40
  6. Step 6: Final answer
    x = 338,422.80

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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.