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Finding the Fourth Proportional to 366,146, 505,289.16 and 207,170

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Solution

The fourth proportional to 366,146, 505,289.16 and 207,170 is: 285,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,146 : 505,289.16 = 207,170 : x
  2. Step 2: Convert to fraction form
    366,146/505,289.16 = 207,170/x
  3. Step 3: Cross multiply
    366,146x = 505,289.16 × 207,170
  4. Step 4: Simplify right side
    366,146x = 104,680,755,277.20
  5. Step 5: Solve for x
    x = 104,680,755,277.20/366,146
  6. Step 6: Final answer
    x = 285,898.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.