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Finding the Fourth Proportional to 343,274.70, 514,912.05 and 343,274.70

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Solution

The fourth proportional to 343,274.70, 514,912.05 and 343,274.70 is: 514,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,274.70 : 514,912.05 = 343,274.70 : x
  2. Step 2: Convert to fraction form
    343,274.70/514,912.05 = 343,274.70/x
  3. Step 3: Cross multiply
    343,274.70x = 514,912.05 × 343,274.70
  4. Step 4: Simplify right side
    343,274.70x = 176,756,279,490.14
  5. Step 5: Solve for x
    x = 176,756,279,490.14/343,274.70
  6. Step 6: Final answer
    x = 514,912.05

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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.