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Finding the Fourth Proportional to 353,517, 487,853.54 and 194,541

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Solution

The fourth proportional to 353,517, 487,853.54 and 194,541 is: 268,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,517 : 487,853.54 = 194,541 : x
  2. Step 2: Convert to fraction form
    353,517/487,853.54 = 194,541/x
  3. Step 3: Cross multiply
    353,517x = 487,853.54 × 194,541
  4. Step 4: Simplify right side
    353,517x = 94,907,515,525.14
  5. Step 5: Solve for x
    x = 94,907,515,525.14/353,517
  6. Step 6: Final answer
    x = 268,466.62

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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.