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Finding the Fourth Proportional to 384,024.37, 529,733.28 and 222,858.87

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Solution

The fourth proportional to 384,024.37, 529,733.28 and 222,858.87 is: 307,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,024.37 : 529,733.28 = 222,858.87 : x
  2. Step 2: Convert to fraction form
    384,024.37/529,733.28 = 222,858.87/x
  3. Step 3: Cross multiply
    384,024.37x = 529,733.28 × 222,858.87
  4. Step 4: Simplify right side
    384,024.37x = 118,055,760,182.19
  5. Step 5: Solve for x
    x = 118,055,760,182.19/384,024.37
  6. Step 6: Final answer
    x = 307,417.37

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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.