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Finding the Fourth Proportional to 367,146.34, 506,670.68 and 206,013.31

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Solution

The fourth proportional to 367,146.34, 506,670.68 and 206,013.31 is: 284,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,146.34 : 506,670.68 = 206,013.31 : x
  2. Step 2: Convert to fraction form
    367,146.34/506,670.68 = 206,013.31/x
  3. Step 3: Cross multiply
    367,146.34x = 506,670.68 × 206,013.31
  4. Step 4: Simplify right side
    367,146.34x = 104,380,903,115.11
  5. Step 5: Solve for x
    x = 104,380,903,115.11/367,146.34
  6. Step 6: Final answer
    x = 284,303.27

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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.