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Finding the Fourth Proportional to 357,889, 493,896.27 and 194,556.49

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Solution

The fourth proportional to 357,889, 493,896.27 and 194,556.49 is: 268,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,889 : 493,896.27 = 194,556.49 : x
  2. Step 2: Convert to fraction form
    357,889/493,896.27 = 194,556.49/x
  3. Step 3: Cross multiply
    357,889x = 493,896.27 × 194,556.49
  4. Step 4: Simplify right side
    357,889x = 96,090,724,715.29
  5. Step 5: Solve for x
    x = 96,090,724,715.29/357,889
  6. Step 6: Final answer
    x = 268,493.09

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1.5x scale

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.