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Finding the Fourth Proportional to 298,820.36, 412,360.06 and 162,851.38

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Solution

The fourth proportional to 298,820.36, 412,360.06 and 162,851.38 is: 224,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,820.36 : 412,360.06 = 162,851.38 : x
  2. Step 2: Convert to fraction form
    298,820.36/412,360.06 = 162,851.38/x
  3. Step 3: Cross multiply
    298,820.36x = 412,360.06 × 162,851.38
  4. Step 4: Simplify right side
    298,820.36x = 67,153,403,389.85
  5. Step 5: Solve for x
    x = 67,153,403,389.85/298,820.36
  6. Step 6: Final answer
    x = 224,728.34

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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.