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Finding the Fourth Proportional to 305,019.66, 420,916.29 and 169,066.26

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Solution

The fourth proportional to 305,019.66, 420,916.29 and 169,066.26 is: 233,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,019.66 : 420,916.29 = 169,066.26 : x
  2. Step 2: Convert to fraction form
    305,019.66/420,916.29 = 169,066.26/x
  3. Step 3: Cross multiply
    305,019.66x = 420,916.29 × 169,066.26
  4. Step 4: Simplify right side
    305,019.66x = 71,162,742,923.38
  5. Step 5: Solve for x
    x = 71,162,742,923.38/305,019.66
  6. Step 6: Final answer
    x = 233,305.43

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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.