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Finding the Fourth Proportional to 343,311.40, 514,967.10 and 237,023.20

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Solution

The fourth proportional to 343,311.40, 514,967.10 and 237,023.20 is: 355,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,311.40 : 514,967.10 = 237,023.20 : x
  2. Step 2: Convert to fraction form
    343,311.40/514,967.10 = 237,023.20/x
  3. Step 3: Cross multiply
    343,311.40x = 514,967.10 × 237,023.20
  4. Step 4: Simplify right side
    343,311.40x = 122,059,149,936.72
  5. Step 5: Solve for x
    x = 122,059,149,936.72/343,311.40
  6. Step 6: Final answer
    x = 355,534.80

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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.