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Finding the Fourth Proportional to 399,660.30, 599,490.45 and 288,123.30

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Solution

The fourth proportional to 399,660.30, 599,490.45 and 288,123.30 is: 432,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,660.30 : 599,490.45 = 288,123.30 : x
  2. Step 2: Convert to fraction form
    399,660.30/599,490.45 = 288,123.30/x
  3. Step 3: Cross multiply
    399,660.30x = 599,490.45 × 288,123.30
  4. Step 4: Simplify right side
    399,660.30x = 172,727,166,772.49
  5. Step 5: Solve for x
    x = 172,727,166,772.49/399,660.30
  6. Step 6: Final answer
    x = 432,184.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.