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Finding the Fourth Proportional to 298,094.08, 411,367.80 and 169,056.88

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Solution

The fourth proportional to 298,094.08, 411,367.80 and 169,056.88 is: 233,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,094.08 : 411,367.80 = 169,056.88 : x
  2. Step 2: Convert to fraction form
    298,094.08/411,367.80 = 169,056.88/x
  3. Step 3: Cross multiply
    298,094.08x = 411,367.80 × 169,056.88
  4. Step 4: Simplify right side
    298,094.08x = 69,544,556,800.46
  5. Step 5: Solve for x
    x = 69,544,556,800.46/298,094.08
  6. Step 6: Final answer
    x = 233,297.34

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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.