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Finding the Fourth Proportional to 314,092, 471,289.20 and 156,334.24

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Solution

The fourth proportional to 314,092, 471,289.20 and 156,334.24 is: 234,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,092 : 471,289.20 = 156,334.24 : x
  2. Step 2: Convert to fraction form
    314,092/471,289.20 = 156,334.24/x
  3. Step 3: Cross multiply
    314,092x = 471,289.20 × 156,334.24
  4. Step 4: Simplify right side
    314,092x = 73,678,638,902.21
  5. Step 5: Solve for x
    x = 73,678,638,902.21/314,092
  6. Step 6: Final answer
    x = 234,576.62

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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.