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Finding the Fourth Proportional to 298,416.14, 447,706.30 and 88,054.08

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Solution

The fourth proportional to 298,416.14, 447,706.30 and 88,054.08 is: 132,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416.14 : 447,706.30 = 88,054.08 : x
  2. Step 2: Convert to fraction form
    298,416.14/447,706.30 = 88,054.08/x
  3. Step 3: Cross multiply
    298,416.14x = 447,706.30 × 88,054.08
  4. Step 4: Simplify right side
    298,416.14x = 39,422,366,136.57
  5. Step 5: Solve for x
    x = 39,422,366,136.57/298,416.14
  6. Step 6: Final answer
    x = 132,105.34

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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.