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Finding the Fourth Proportional to 304,952.50, 420,834.45 and 170,816.50

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Solution

The fourth proportional to 304,952.50, 420,834.45 and 170,816.50 is: 235,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,952.50 : 420,834.45 = 170,816.50 : x
  2. Step 2: Convert to fraction form
    304,952.50/420,834.45 = 170,816.50/x
  3. Step 3: Cross multiply
    304,952.50x = 420,834.45 × 170,816.50
  4. Step 4: Simplify right side
    304,952.50x = 71,885,467,828.43
  5. Step 5: Solve for x
    x = 71,885,467,828.43/304,952.50
  6. Step 6: Final answer
    x = 235,726.77

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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.