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Finding the Fourth Proportional to 367,664.88, 507,298.82 and 214,633.62

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Solution

The fourth proportional to 367,664.88, 507,298.82 and 214,633.62 is: 296,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,664.88 : 507,298.82 = 214,633.62 : x
  2. Step 2: Convert to fraction form
    367,664.88/507,298.82 = 214,633.62/x
  3. Step 3: Cross multiply
    367,664.88x = 507,298.82 × 214,633.62
  4. Step 4: Simplify right side
    367,664.88x = 108,883,382,694.91
  5. Step 5: Solve for x
    x = 108,883,382,694.91/367,664.88
  6. Step 6: Final answer
    x = 296,148.45

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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.