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Finding the Fourth Proportional to 506,019.90, 758,279.25 and 206,134.14

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Solution

The fourth proportional to 506,019.90, 758,279.25 and 206,134.14 is: 308,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,019.90 : 758,279.25 = 206,134.14 : x
  2. Step 2: Convert to fraction form
    506,019.90/758,279.25 = 206,134.14/x
  3. Step 3: Cross multiply
    506,019.90x = 758,279.25 × 206,134.14
  4. Step 4: Simplify right side
    506,019.90x = 156,307,241,078.60
  5. Step 5: Solve for x
    x = 156,307,241,078.60/506,019.90
  6. Step 6: Final answer
    x = 308,895.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.