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Finding the Fourth Proportional to 326,548, 489,674.22 and 116,191.48

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Solution

The fourth proportional to 326,548, 489,674.22 and 116,191.48 is: 174,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,548 : 489,674.22 = 116,191.48 : x
  2. Step 2: Convert to fraction form
    326,548/489,674.22 = 116,191.48/x
  3. Step 3: Cross multiply
    326,548x = 489,674.22 × 116,191.48
  4. Step 4: Simplify right side
    326,548x = 56,895,972,339.65
  5. Step 5: Solve for x
    x = 56,895,972,339.65/326,548
  6. Step 6: Final answer
    x = 174,234.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.