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Finding the Fourth Proportional to 367,401.22, 507,013.30 and 206,256.58

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Solution

The fourth proportional to 367,401.22, 507,013.30 and 206,256.58 is: 284,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,401.22 : 507,013.30 = 206,256.58 : x
  2. Step 2: Convert to fraction form
    367,401.22/507,013.30 = 206,256.58/x
  3. Step 3: Cross multiply
    367,401.22x = 507,013.30 × 206,256.58
  4. Step 4: Simplify right side
    367,401.22x = 104,574,827,682.71
  5. Step 5: Solve for x
    x = 104,574,827,682.71/367,401.22
  6. Step 6: Final answer
    x = 284,633.86

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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.