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Finding the Fourth Proportional to 358,047.58, 494,118.34 and 196,915.10

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Solution

The fourth proportional to 358,047.58, 494,118.34 and 196,915.10 is: 271,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047.58 : 494,118.34 = 196,915.10 : x
  2. Step 2: Convert to fraction form
    358,047.58/494,118.34 = 196,915.10/x
  3. Step 3: Cross multiply
    358,047.58x = 494,118.34 × 196,915.10
  4. Step 4: Simplify right side
    358,047.58x = 97,299,362,332.93
  5. Step 5: Solve for x
    x = 97,299,362,332.93/358,047.58
  6. Step 6: Final answer
    x = 271,749.81

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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.