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Finding the Fourth Proportional to 466,339.40, 699,797.10 and 185,827.40

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Solution

The fourth proportional to 466,339.40, 699,797.10 and 185,827.40 is: 278,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,339.40 : 699,797.10 = 185,827.40 : x
  2. Step 2: Convert to fraction form
    466,339.40/699,797.10 = 185,827.40/x
  3. Step 3: Cross multiply
    466,339.40x = 699,797.10 × 185,827.40
  4. Step 4: Simplify right side
    466,339.40x = 130,041,475,620.54
  5. Step 5: Solve for x
    x = 130,041,475,620.54/466,339.40
  6. Step 6: Final answer
    x = 278,855.86

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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.