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Finding the Fourth Proportional to 298,690.40, 412,187.94 and 162,725.99

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Solution

The fourth proportional to 298,690.40, 412,187.94 and 162,725.99 is: 224,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,690.40 : 412,187.94 = 162,725.99 : x
  2. Step 2: Convert to fraction form
    298,690.40/412,187.94 = 162,725.99/x
  3. Step 3: Cross multiply
    298,690.40x = 412,187.94 × 162,725.99
  4. Step 4: Simplify right side
    298,690.40x = 67,073,688,541.62
  5. Step 5: Solve for x
    x = 67,073,688,541.62/298,690.40
  6. Step 6: Final answer
    x = 224,559.24

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Why These Related Problems?

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