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Finding the Fourth Proportional to 364,988, 503,683.68 and 206,012

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Solution

The fourth proportional to 364,988, 503,683.68 and 206,012 is: 284,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,988 : 503,683.68 = 206,012 : x
  2. Step 2: Convert to fraction form
    364,988/503,683.68 = 206,012/x
  3. Step 3: Cross multiply
    364,988x = 503,683.68 × 206,012
  4. Step 4: Simplify right side
    364,988x = 103,764,882,284.16
  5. Step 5: Solve for x
    x = 103,764,882,284.16/364,988
  6. Step 6: Final answer
    x = 284,296.70

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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.