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Finding the Fourth Proportional to 297,290.16, 410,143.64 and 169,897.41

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Solution

The fourth proportional to 297,290.16, 410,143.64 and 169,897.41 is: 234,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,290.16 : 410,143.64 = 169,897.41 : x
  2. Step 2: Convert to fraction form
    297,290.16/410,143.64 = 169,897.41/x
  3. Step 3: Cross multiply
    297,290.16x = 410,143.64 × 169,897.41
  4. Step 4: Simplify right side
    297,290.16x = 69,682,341,314.49
  5. Step 5: Solve for x
    x = 69,682,341,314.49/297,290.16
  6. Step 6: Final answer
    x = 234,391.68

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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.