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Finding the Fourth Proportional to 298,995.03, 412,713.14 and 178,174.22

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Solution

The fourth proportional to 298,995.03, 412,713.14 and 178,174.22 is: 245,940.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,995.03 : 412,713.14 = 178,174.22 : x
  2. Step 2: Convert to fraction form
    298,995.03/412,713.14 = 178,174.22/x
  3. Step 3: Cross multiply
    298,995.03x = 412,713.14 × 178,174.22
  4. Step 4: Simplify right side
    298,995.03x = 73,534,838,848.81
  5. Step 5: Solve for x
    x = 73,534,838,848.81/298,995.03
  6. Step 6: Final answer
    x = 245,940.00

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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.