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Finding the Fourth Proportional to 358,632.27, 494,915.76 and 197,493.08

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Solution

The fourth proportional to 358,632.27, 494,915.76 and 197,493.08 is: 272,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,632.27 : 494,915.76 = 197,493.08 : x
  2. Step 2: Convert to fraction form
    358,632.27/494,915.76 = 197,493.08/x
  3. Step 3: Cross multiply
    358,632.27x = 494,915.76 × 197,493.08
  4. Step 4: Simplify right side
    358,632.27x = 97,742,435,308.36
  5. Step 5: Solve for x
    x = 97,742,435,308.36/358,632.27
  6. Step 6: Final answer
    x = 272,542.22

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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.