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Finding the Fourth Proportional to 368,896.16, 509,078.43 and 207,753.95

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Solution

The fourth proportional to 368,896.16, 509,078.43 and 207,753.95 is: 286,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,896.16 : 509,078.43 = 207,753.95 : x
  2. Step 2: Convert to fraction form
    368,896.16/509,078.43 = 207,753.95/x
  3. Step 3: Cross multiply
    368,896.16x = 509,078.43 × 207,753.95
  4. Step 4: Simplify right side
    368,896.16x = 105,763,052,146.91
  5. Step 5: Solve for x
    x = 105,763,052,146.91/368,896.16
  6. Step 6: Final answer
    x = 286,701.42

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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.