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Finding the Fourth Proportional to 269,564.60, 404,784.30 and 151,466.60

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Solution

The fourth proportional to 269,564.60, 404,784.30 and 151,466.60 is: 227,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.60 : 404,784.30 = 151,466.60 : x
  2. Step 2: Convert to fraction form
    269,564.60/404,784.30 = 151,466.60/x
  3. Step 3: Cross multiply
    269,564.60x = 404,784.30 × 151,466.60
  4. Step 4: Simplify right side
    269,564.60x = 61,311,301,654.38
  5. Step 5: Solve for x
    x = 61,311,301,654.38/269,564.60
  6. Step 6: Final answer
    x = 227,445.67

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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.