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Finding the Fourth Proportional to 398,809.70, 598,214.55 and 286,835.30

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Solution

The fourth proportional to 398,809.70, 598,214.55 and 286,835.30 is: 430,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,809.70 : 598,214.55 = 286,835.30 : x
  2. Step 2: Convert to fraction form
    398,809.70/598,214.55 = 286,835.30/x
  3. Step 3: Cross multiply
    398,809.70x = 598,214.55 × 286,835.30
  4. Step 4: Simplify right side
    398,809.70x = 171,589,049,913.62
  5. Step 5: Solve for x
    x = 171,589,049,913.62/398,809.70
  6. Step 6: Final answer
    x = 430,252.95

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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.