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Finding the Fourth Proportional to 494,518.32, 682,435.28 and 268,164

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Solution

The fourth proportional to 494,518.32, 682,435.28 and 268,164 is: 370,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,518.32 : 682,435.28 = 268,164 : x
  2. Step 2: Convert to fraction form
    494,518.32/682,435.28 = 268,164/x
  3. Step 3: Cross multiply
    494,518.32x = 682,435.28 × 268,164
  4. Step 4: Simplify right side
    494,518.32x = 183,004,573,085.10
  5. Step 5: Solve for x
    x = 183,004,573,085.10/494,518.32
  6. Step 6: Final answer
    x = 370,066.32

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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.