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Finding the Fourth Proportional to 297,026.29, 409,870.96 and 169,677.01

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Solution

The fourth proportional to 297,026.29, 409,870.96 and 169,677.01 is: 234,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,026.29 : 409,870.96 = 169,677.01 : x
  2. Step 2: Convert to fraction form
    297,026.29/409,870.96 = 169,677.01/x
  3. Step 3: Cross multiply
    297,026.29x = 409,870.96 × 169,677.01
  4. Step 4: Simplify right side
    297,026.29x = 69,545,678,978.63
  5. Step 5: Solve for x
    x = 69,545,678,978.63/297,026.29
  6. Step 6: Final answer
    x = 234,139.81

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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.