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Finding the Fourth Proportional to 367,914.33, 507,607.67 and 214,842.10

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Solution

The fourth proportional to 367,914.33, 507,607.67 and 214,842.10 is: 296,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,914.33 : 507,607.67 = 214,842.10 : x
  2. Step 2: Convert to fraction form
    367,914.33/507,607.67 = 214,842.10/x
  3. Step 3: Cross multiply
    367,914.33x = 507,607.67 × 214,842.10
  4. Step 4: Simplify right side
    367,914.33x = 109,055,497,798.91
  5. Step 5: Solve for x
    x = 109,055,497,798.91/367,914.33
  6. Step 6: Final answer
    x = 296,415.47

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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.