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Finding the Fourth Proportional to 296,784.97, 445,177.64 and 208,432.91

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Solution

The fourth proportional to 296,784.97, 445,177.64 and 208,432.91 is: 312,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,784.97 : 445,177.64 = 208,432.91 : x
  2. Step 2: Convert to fraction form
    296,784.97/445,177.64 = 208,432.91/x
  3. Step 3: Cross multiply
    296,784.97x = 445,177.64 × 208,432.91
  4. Step 4: Simplify right side
    296,784.97x = 92,789,669,929.97
  5. Step 5: Solve for x
    x = 92,789,669,929.97/296,784.97
  6. Step 6: Final answer
    x = 312,649.50

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