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Finding the Fourth Proportional to 506,929.34, 699,584.58 and 280,574.78

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Solution

The fourth proportional to 506,929.34, 699,584.58 and 280,574.78 is: 387,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,929.34 : 699,584.58 = 280,574.78 : x
  2. Step 2: Convert to fraction form
    506,929.34/699,584.58 = 280,574.78/x
  3. Step 3: Cross multiply
    506,929.34x = 699,584.58 × 280,574.78
  4. Step 4: Simplify right side
    506,929.34x = 196,285,789,624.89
  5. Step 5: Solve for x
    x = 196,285,789,624.89/506,929.34
  6. Step 6: Final answer
    x = 387,205.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.