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Finding the Fourth Proportional to 490,516.95, 677,098.37 and 286,634.14

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Solution

The fourth proportional to 490,516.95, 677,098.37 and 286,634.14 is: 395,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,516.95 : 677,098.37 = 286,634.14 : x
  2. Step 2: Convert to fraction form
    490,516.95/677,098.37 = 286,634.14/x
  3. Step 3: Cross multiply
    490,516.95x = 677,098.37 × 286,634.14
  4. Step 4: Simplify right side
    490,516.95x = 194,079,508,980.35
  5. Step 5: Solve for x
    x = 194,079,508,980.35/490,516.95
  6. Step 6: Final answer
    x = 395,663.21

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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.