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Finding the Fourth Proportional to 314,026.80, 470,521.80 and 267,370.80

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Solution

The fourth proportional to 314,026.80, 470,521.80 and 267,370.80 is: 400,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,026.80 : 470,521.80 = 267,370.80 : x
  2. Step 2: Convert to fraction form
    314,026.80/470,521.80 = 267,370.80/x
  3. Step 3: Cross multiply
    314,026.80x = 470,521.80 × 267,370.80
  4. Step 4: Simplify right side
    314,026.80x = 125,803,790,083.44
  5. Step 5: Solve for x
    x = 125,803,790,083.44/314,026.80
  6. Step 6: Final answer
    x = 400,614.82

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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.