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Finding the Fourth Proportional to 276,044.60, 413,192.10 and 197,312.60

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Solution

The fourth proportional to 276,044.60, 413,192.10 and 197,312.60 is: 295,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,044.60 : 413,192.10 = 197,312.60 : x
  2. Step 2: Convert to fraction form
    276,044.60/413,192.10 = 197,312.60/x
  3. Step 3: Cross multiply
    276,044.60x = 413,192.10 × 197,312.60
  4. Step 4: Simplify right side
    276,044.60x = 81,528,007,550.46
  5. Step 5: Solve for x
    x = 81,528,007,550.46/276,044.60
  6. Step 6: Final answer
    x = 295,343.61

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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.