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Finding the Fourth Proportional to 367,885.26, 507,820.40 and 214,973.18

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Solution

The fourth proportional to 367,885.26, 507,820.40 and 214,973.18 is: 296,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,885.26 : 507,820.40 = 214,973.18 : x
  2. Step 2: Convert to fraction form
    367,885.26/507,820.40 = 214,973.18/x
  3. Step 3: Cross multiply
    367,885.26x = 507,820.40 × 214,973.18
  4. Step 4: Simplify right side
    367,885.26x = 109,167,765,353.38
  5. Step 5: Solve for x
    x = 109,167,765,353.38/367,885.26
  6. Step 6: Final answer
    x = 296,744.06

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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.