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Finding the Fourth Proportional to 506,576.99, 699,007.78 and 288,813.76

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Solution

The fourth proportional to 506,576.99, 699,007.78 and 288,813.76 is: 398,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,576.99 : 699,007.78 = 288,813.76 : x
  2. Step 2: Convert to fraction form
    506,576.99/699,007.78 = 288,813.76/x
  3. Step 3: Cross multiply
    506,576.99x = 699,007.78 × 288,813.76
  4. Step 4: Simplify right side
    506,576.99x = 201,883,065,211.05
  5. Step 5: Solve for x
    x = 201,883,065,211.05/506,576.99
  6. Step 6: Final answer
    x = 398,523.95

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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.