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Finding the Fourth Proportional to 298,566.33, 412,018.67 and 162,602.55

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Solution

The fourth proportional to 298,566.33, 412,018.67 and 162,602.55 is: 224,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,566.33 : 412,018.67 = 162,602.55 : x
  2. Step 2: Convert to fraction form
    298,566.33/412,018.67 = 162,602.55/x
  3. Step 3: Cross multiply
    298,566.33x = 412,018.67 × 162,602.55
  4. Step 4: Simplify right side
    298,566.33x = 66,995,285,881.48
  5. Step 5: Solve for x
    x = 66,995,285,881.48/298,566.33
  6. Step 6: Final answer
    x = 224,389.96

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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.