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Finding the Fourth Proportional to 462,892.24, 638,533.84 and 269,278.08

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Solution

The fourth proportional to 462,892.24, 638,533.84 and 269,278.08 is: 371,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,892.24 : 638,533.84 = 269,278.08 : x
  2. Step 2: Convert to fraction form
    462,892.24/638,533.84 = 269,278.08/x
  3. Step 3: Cross multiply
    462,892.24x = 638,533.84 × 269,278.08
  4. Step 4: Simplify right side
    462,892.24x = 171,943,166,450.23
  5. Step 5: Solve for x
    x = 171,943,166,450.23/462,892.24
  6. Step 6: Final answer
    x = 371,453.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.