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Finding the Fourth Proportional to 506,833.65, 699,361.20 and 302,841.51

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Solution

The fourth proportional to 506,833.65, 699,361.20 and 302,841.51 is: 417,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,833.65 : 699,361.20 = 302,841.51 : x
  2. Step 2: Convert to fraction form
    506,833.65/699,361.20 = 302,841.51/x
  3. Step 3: Cross multiply
    506,833.65x = 699,361.20 × 302,841.51
  4. Step 4: Simplify right side
    506,833.65x = 211,795,601,843.41
  5. Step 5: Solve for x
    x = 211,795,601,843.41/506,833.65
  6. Step 6: Final answer
    x = 417,879.91

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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.