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Finding the Fourth Proportional to 367,706.72, 507,380 and 206,530.88

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Solution

The fourth proportional to 367,706.72, 507,380 and 206,530.88 is: 284,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,706.72 : 507,380 = 206,530.88 : x
  2. Step 2: Convert to fraction form
    367,706.72/507,380 = 206,530.88/x
  3. Step 3: Cross multiply
    367,706.72x = 507,380 × 206,530.88
  4. Step 4: Simplify right side
    367,706.72x = 104,789,637,894.40
  5. Step 5: Solve for x
    x = 104,789,637,894.40/367,706.72
  6. Step 6: Final answer
    x = 284,981.57

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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.