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Finding the Fourth Proportional to 483,081.14, 724,713.75 and 194,915.64

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Solution

The fourth proportional to 483,081.14, 724,713.75 and 194,915.64 is: 292,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,081.14 : 724,713.75 = 194,915.64 : x
  2. Step 2: Convert to fraction form
    483,081.14/724,713.75 = 194,915.64/x
  3. Step 3: Cross multiply
    483,081.14x = 724,713.75 × 194,915.64
  4. Step 4: Simplify right side
    483,081.14x = 141,258,044,398.05
  5. Step 5: Solve for x
    x = 141,258,044,398.05/483,081.14
  6. Step 6: Final answer
    x = 292,410.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.