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Finding the Fourth Proportional to 682,658.07, 942,422.32 and 498,690.06

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Solution

The fourth proportional to 682,658.07, 942,422.32 and 498,690.06 is: 688,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,658.07 : 942,422.32 = 498,690.06 : x
  2. Step 2: Convert to fraction form
    682,658.07/942,422.32 = 498,690.06/x
  3. Step 3: Cross multiply
    682,658.07x = 942,422.32 × 498,690.06
  4. Step 4: Simplify right side
    682,658.07x = 469,976,643,306.14
  5. Step 5: Solve for x
    x = 469,976,643,306.14/682,658.07
  6. Step 6: Final answer
    x = 688,451.02

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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.