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Finding the Fourth Proportional to 356,384.70, 534,145.05 and 206,336.70

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Solution

The fourth proportional to 356,384.70, 534,145.05 and 206,336.70 is: 309,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,384.70 : 534,145.05 = 206,336.70 : x
  2. Step 2: Convert to fraction form
    356,384.70/534,145.05 = 206,336.70/x
  3. Step 3: Cross multiply
    356,384.70x = 534,145.05 × 206,336.70
  4. Step 4: Simplify right side
    356,384.70x = 110,213,726,938.34
  5. Step 5: Solve for x
    x = 110,213,726,938.34/356,384.70
  6. Step 6: Final answer
    x = 309,254.93

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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.