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Finding the Fourth Proportional to 267,223.40, 400,835.10 and 165,746.60

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Solution

The fourth proportional to 267,223.40, 400,835.10 and 165,746.60 is: 248,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,223.40 : 400,835.10 = 165,746.60 : x
  2. Step 2: Convert to fraction form
    267,223.40/400,835.10 = 165,746.60/x
  3. Step 3: Cross multiply
    267,223.40x = 400,835.10 × 165,746.60
  4. Step 4: Simplify right side
    267,223.40x = 66,437,054,985.66
  5. Step 5: Solve for x
    x = 66,437,054,985.66/267,223.40
  6. Step 6: Final answer
    x = 248,619.90

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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.