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Finding the Fourth Proportional to 722,454, 1,083,681 and 197,142

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Solution

The fourth proportional to 722,454, 1,083,681 and 197,142 is: 295,713

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,454 : 1,083,681 = 197,142 : x
  2. Step 2: Convert to fraction form
    722,454/1,083,681 = 197,142/x
  3. Step 3: Cross multiply
    722,454x = 1,083,681 × 197,142
  4. Step 4: Simplify right side
    722,454x = 213,639,039,702
  5. Step 5: Solve for x
    x = 213,639,039,702/722,454
  6. Step 6: Final answer
    x = 295,713

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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.