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Finding the Fourth Proportional to 498,774, 688,311.78 and 272,419.50

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Solution

The fourth proportional to 498,774, 688,311.78 and 272,419.50 is: 375,940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,774 : 688,311.78 = 272,419.50 : x
  2. Step 2: Convert to fraction form
    498,774/688,311.78 = 272,419.50/x
  3. Step 3: Cross multiply
    498,774x = 688,311.78 × 272,419.50
  4. Step 4: Simplify right side
    498,774x = 187,509,550,951.71
  5. Step 5: Solve for x
    x = 187,509,550,951.71/498,774
  6. Step 6: Final answer
    x = 375,940.91

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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.