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Finding the Fourth Proportional to 298,292.60, 411,463.32 and 190,825.04

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Solution

The fourth proportional to 298,292.60, 411,463.32 and 190,825.04 is: 263,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,292.60 : 411,463.32 = 190,825.04 : x
  2. Step 2: Convert to fraction form
    298,292.60/411,463.32 = 190,825.04/x
  3. Step 3: Cross multiply
    298,292.60x = 411,463.32 × 190,825.04
  4. Step 4: Simplify right side
    298,292.60x = 78,517,504,497.53
  5. Step 5: Solve for x
    x = 78,517,504,497.53/298,292.60
  6. Step 6: Final answer
    x = 263,223.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.