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Finding the Fourth Proportional to 304,835.50, 420,667.32 and 168,866.44

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Solution

The fourth proportional to 304,835.50, 420,667.32 and 168,866.44 is: 233,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,835.50 : 420,667.32 = 168,866.44 : x
  2. Step 2: Convert to fraction form
    304,835.50/420,667.32 = 168,866.44/x
  3. Step 3: Cross multiply
    304,835.50x = 420,667.32 × 168,866.44
  4. Step 4: Simplify right side
    304,835.50x = 71,036,592,752.74
  5. Step 5: Solve for x
    x = 71,036,592,752.74/304,835.50
  6. Step 6: Final answer
    x = 233,032.55

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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.