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Finding the Fourth Proportional to 506,914.25, 699,494.18 and 302,924.56

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Solution

The fourth proportional to 506,914.25, 699,494.18 and 302,924.56 is: 418,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,914.25 : 699,494.18 = 302,924.56 : x
  2. Step 2: Convert to fraction form
    506,914.25/699,494.18 = 302,924.56/x
  3. Step 3: Cross multiply
    506,914.25x = 699,494.18 × 302,924.56
  4. Step 4: Simplify right side
    506,914.25x = 211,893,966,451.21
  5. Step 5: Solve for x
    x = 211,893,966,451.21/506,914.25
  6. Step 6: Final answer
    x = 418,007.52

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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.