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Finding the Fourth Proportional to 358,356.48, 494,532 and 197,223

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Solution

The fourth proportional to 358,356.48, 494,532 and 197,223 is: 272,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,356.48 : 494,532 = 197,223 : x
  2. Step 2: Convert to fraction form
    358,356.48/494,532 = 197,223/x
  3. Step 3: Cross multiply
    358,356.48x = 494,532 × 197,223
  4. Step 4: Simplify right side
    358,356.48x = 97,533,084,636
  5. Step 5: Solve for x
    x = 97,533,084,636/358,356.48
  6. Step 6: Final answer
    x = 272,167.77

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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.