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Finding the Fourth Proportional to 298,094.58, 411,368.49 and 169,057.38

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Solution

The fourth proportional to 298,094.58, 411,368.49 and 169,057.38 is: 233,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,094.58 : 411,368.49 = 169,057.38 : x
  2. Step 2: Convert to fraction form
    298,094.58/411,368.49 = 169,057.38/x
  3. Step 3: Cross multiply
    298,094.58x = 411,368.49 × 169,057.38
  4. Step 4: Simplify right side
    298,094.58x = 69,544,879,133.96
  5. Step 5: Solve for x
    x = 69,544,879,133.96/298,094.58
  6. Step 6: Final answer
    x = 233,298.03

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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.