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Finding the Fourth Proportional to 682,684, 942,458.12 and 498,716

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Solution

The fourth proportional to 682,684, 942,458.12 and 498,716 is: 688,486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,684 : 942,458.12 = 498,716 : x
  2. Step 2: Convert to fraction form
    682,684/942,458.12 = 498,716/x
  3. Step 3: Cross multiply
    682,684x = 942,458.12 × 498,716
  4. Step 4: Simplify right side
    682,684x = 470,018,943,773.92
  5. Step 5: Solve for x
    x = 470,018,943,773.92/682,684
  6. Step 6: Final answer
    x = 688,486.83

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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.