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Finding the Fourth Proportional to 343,274.44, 514,979.70 and 132,914.20

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Solution

The fourth proportional to 343,274.44, 514,979.70 and 132,914.20 is: 199,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274.44 : 514,979.70 = 132,914.20 : x
  2. Step 2: Convert to fraction form
    343,274.44/514,979.70 = 132,914.20/x
  3. Step 3: Cross multiply
    343,274.44x = 514,979.70 × 132,914.20
  4. Step 4: Simplify right side
    343,274.44x = 68,448,114,841.74
  5. Step 5: Solve for x
    x = 68,448,114,841.74/343,274.44
  6. Step 6: Final answer
    x = 199,397.64

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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.