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Finding the Fourth Proportional to 367,140.35, 506,661.53 and 206,007.05

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Solution

The fourth proportional to 367,140.35, 506,661.53 and 206,007.05 is: 284,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,140.35 : 506,661.53 = 206,007.05 : x
  2. Step 2: Convert to fraction form
    367,140.35/506,661.53 = 206,007.05/x
  3. Step 3: Cross multiply
    367,140.35x = 506,661.53 × 206,007.05
  4. Step 4: Simplify right side
    367,140.35x = 104,375,843,580.44
  5. Step 5: Solve for x
    x = 104,375,843,580.44/367,140.35
  6. Step 6: Final answer
    x = 284,294.13

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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.