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Finding the Fourth Proportional to 298,390.12, 411,783.61 and 162,427.97

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Solution

The fourth proportional to 298,390.12, 411,783.61 and 162,427.97 is: 224,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,390.12 : 411,783.61 = 162,427.97 : x
  2. Step 2: Convert to fraction form
    298,390.12/411,783.61 = 162,427.97/x
  3. Step 3: Cross multiply
    298,390.12x = 411,783.61 × 162,427.97
  4. Step 4: Simplify right side
    298,390.12x = 66,885,175,445.50
  5. Step 5: Solve for x
    x = 66,885,175,445.50/298,390.12
  6. Step 6: Final answer
    x = 224,153.46

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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.