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Finding the Fourth Proportional to 344,867.30, 475,647.24 and 224,047.50

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Solution

The fourth proportional to 344,867.30, 475,647.24 and 224,047.50 is: 309,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,867.30 : 475,647.24 = 224,047.50 : x
  2. Step 2: Convert to fraction form
    344,867.30/475,647.24 = 224,047.50/x
  3. Step 3: Cross multiply
    344,867.30x = 475,647.24 × 224,047.50
  4. Step 4: Simplify right side
    344,867.30x = 106,567,575,003.90
  5. Step 5: Solve for x
    x = 106,567,575,003.90/344,867.30
  6. Step 6: Final answer
    x = 309,010.38

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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.