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Finding the Fourth Proportional to 356,208.94, 534,147.34 and 206,492.04

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Solution

The fourth proportional to 356,208.94, 534,147.34 and 206,492.04 is: 309,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,208.94 : 534,147.34 = 206,492.04 : x
  2. Step 2: Convert to fraction form
    356,208.94/534,147.34 = 206,492.04/x
  3. Step 3: Cross multiply
    356,208.94x = 534,147.34 × 206,492.04
  4. Step 4: Simplify right side
    356,208.94x = 110,297,173,897.17
  5. Step 5: Solve for x
    x = 110,297,173,897.17/356,208.94
  6. Step 6: Final answer
    x = 309,641.79

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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.