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Finding the Fourth Proportional to 298,491.25, 411,925.31 and 162,532.65

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Solution

The fourth proportional to 298,491.25, 411,925.31 and 162,532.65 is: 224,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,491.25 : 411,925.31 = 162,532.65 : x
  2. Step 2: Convert to fraction form
    298,491.25/411,925.31 = 162,532.65/x
  3. Step 3: Cross multiply
    298,491.25x = 411,925.31 × 162,532.65
  4. Step 4: Simplify right side
    298,491.25x = 66,951,312,236.37
  5. Step 5: Solve for x
    x = 66,951,312,236.37/298,491.25
  6. Step 6: Final answer
    x = 224,299.08

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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.