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Finding the Fourth Proportional to 298,006.90, 411,247.30 and 162,040.93

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Solution

The fourth proportional to 298,006.90, 411,247.30 and 162,040.93 is: 223,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,006.90 : 411,247.30 = 162,040.93 : x
  2. Step 2: Convert to fraction form
    298,006.90/411,247.30 = 162,040.93/x
  3. Step 3: Cross multiply
    298,006.90x = 411,247.30 × 162,040.93
  4. Step 4: Simplify right side
    298,006.90x = 66,638,895,434.97
  5. Step 5: Solve for x
    x = 66,638,895,434.97/298,006.90
  6. Step 6: Final answer
    x = 223,615.28

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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.