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Finding the Fourth Proportional to 357,589.49, 493,388.42 and 202,542.12

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Solution

The fourth proportional to 357,589.49, 493,388.42 and 202,542.12 is: 279,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,589.49 : 493,388.42 = 202,542.12 : x
  2. Step 2: Convert to fraction form
    357,589.49/493,388.42 = 202,542.12/x
  3. Step 3: Cross multiply
    357,589.49x = 493,388.42 × 202,542.12
  4. Step 4: Simplify right side
    357,589.49x = 99,931,935,557.54
  5. Step 5: Solve for x
    x = 99,931,935,557.54/357,589.49
  6. Step 6: Final answer
    x = 279,459.94

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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.