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Finding the Fourth Proportional to 358,010.92, 494,047 and 194,663.88

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Solution

The fourth proportional to 358,010.92, 494,047 and 194,663.88 is: 268,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,010.92 : 494,047 = 194,663.88 : x
  2. Step 2: Convert to fraction form
    358,010.92/494,047 = 194,663.88/x
  3. Step 3: Cross multiply
    358,010.92x = 494,047 × 194,663.88
  4. Step 4: Simplify right side
    358,010.92x = 96,173,105,922.36
  5. Step 5: Solve for x
    x = 96,173,105,922.36/358,010.92
  6. Step 6: Final answer
    x = 268,631.77

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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.