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Finding the Fourth Proportional to 304,793.20, 420,582.54 and 168,823.50

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Solution

The fourth proportional to 304,793.20, 420,582.54 and 168,823.50 is: 232,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,793.20 : 420,582.54 = 168,823.50 : x
  2. Step 2: Convert to fraction form
    304,793.20/420,582.54 = 168,823.50/x
  3. Step 3: Cross multiply
    304,793.20x = 420,582.54 × 168,823.50
  4. Step 4: Simplify right side
    304,793.20x = 71,004,216,441.69
  5. Step 5: Solve for x
    x = 71,004,216,441.69/304,793.20
  6. Step 6: Final answer
    x = 232,958.66

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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.