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Finding the Fourth Proportional to 304,614.56, 420,368.04 and 170,478.56

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Solution

The fourth proportional to 304,614.56, 420,368.04 and 170,478.56 is: 235,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614.56 : 420,368.04 = 170,478.56 : x
  2. Step 2: Convert to fraction form
    304,614.56/420,368.04 = 170,478.56/x
  3. Step 3: Cross multiply
    304,614.56x = 420,368.04 × 170,478.56
  4. Step 4: Simplify right side
    304,614.56x = 71,663,738,129.22
  5. Step 5: Solve for x
    x = 71,663,738,129.22/304,614.56
  6. Step 6: Final answer
    x = 235,260.38

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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.