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Finding the Fourth Proportional to 297,041.80, 409,939.42 and 169,714.68

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Solution

The fourth proportional to 297,041.80, 409,939.42 and 169,714.68 is: 234,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,041.80 : 409,939.42 = 169,714.68 : x
  2. Step 2: Convert to fraction form
    297,041.80/409,939.42 = 169,714.68/x
  3. Step 3: Cross multiply
    297,041.80x = 409,939.42 × 169,714.68
  4. Step 4: Simplify right side
    297,041.80x = 69,572,737,484.69
  5. Step 5: Solve for x
    x = 69,572,737,484.69/297,041.80
  6. Step 6: Final answer
    x = 234,218.68

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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.