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Finding the Fourth Proportional to 298,435.58, 411,827.68 and 162,466.06

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Solution

The fourth proportional to 298,435.58, 411,827.68 and 162,466.06 is: 224,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,435.58 : 411,827.68 = 162,466.06 : x
  2. Step 2: Convert to fraction form
    298,435.58/411,827.68 = 162,466.06/x
  3. Step 3: Cross multiply
    298,435.58x = 411,827.68 × 162,466.06
  4. Step 4: Simplify right side
    298,435.58x = 66,908,020,568.54
  5. Step 5: Solve for x
    x = 66,908,020,568.54/298,435.58
  6. Step 6: Final answer
    x = 224,195.86

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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.