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Finding the Fourth Proportional to 367,540.64, 507,395.04 and 314,396.56

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Solution

The fourth proportional to 367,540.64, 507,395.04 and 314,396.56 is: 434,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,540.64 : 507,395.04 = 314,396.56 : x
  2. Step 2: Convert to fraction form
    367,540.64/507,395.04 = 314,396.56/x
  3. Step 3: Cross multiply
    367,540.64x = 507,395.04 × 314,396.56
  4. Step 4: Simplify right side
    367,540.64x = 159,523,255,137.06
  5. Step 5: Solve for x
    x = 159,523,255,137.06/367,540.64
  6. Step 6: Final answer
    x = 434,028.89

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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.