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Finding the Fourth Proportional to 314,978.10, 472,467.15 and 226,404.60

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Solution

The fourth proportional to 314,978.10, 472,467.15 and 226,404.60 is: 339,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,978.10 : 472,467.15 = 226,404.60 : x
  2. Step 2: Convert to fraction form
    314,978.10/472,467.15 = 226,404.60/x
  3. Step 3: Cross multiply
    314,978.10x = 472,467.15 × 226,404.60
  4. Step 4: Simplify right side
    314,978.10x = 106,968,736,108.89
  5. Step 5: Solve for x
    x = 106,968,736,108.89/314,978.10
  6. Step 6: Final answer
    x = 339,606.90

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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.