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Finding the Fourth Proportional to 359,492.55, 496,143.66 and 206,530.47

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Solution

The fourth proportional to 359,492.55, 496,143.66 and 206,530.47 is: 285,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,492.55 : 496,143.66 = 206,530.47 : x
  2. Step 2: Convert to fraction form
    359,492.55/496,143.66 = 206,530.47/x
  3. Step 3: Cross multiply
    359,492.55x = 496,143.66 × 206,530.47
  4. Step 4: Simplify right side
    359,492.55x = 102,468,783,287.32
  5. Step 5: Solve for x
    x = 102,468,783,287.32/359,492.55
  6. Step 6: Final answer
    x = 285,037.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.