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Finding the Fourth Proportional to 835,792, 1,153,392.96 and 478,096

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Solution

The fourth proportional to 835,792, 1,153,392.96 and 478,096 is: 659,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,792 : 1,153,392.96 = 478,096 : x
  2. Step 2: Convert to fraction form
    835,792/1,153,392.96 = 478,096/x
  3. Step 3: Cross multiply
    835,792x = 1,153,392.96 × 478,096
  4. Step 4: Simplify right side
    835,792x = 551,432,560,604.16
  5. Step 5: Solve for x
    x = 551,432,560,604.16/835,792
  6. Step 6: Final answer
    x = 659,772.48

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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.