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Finding the Fourth Proportional to 357,536.57, 493,278.25 and 204,519.01

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Solution

The fourth proportional to 357,536.57, 493,278.25 and 204,519.01 is: 282,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,536.57 : 493,278.25 = 204,519.01 : x
  2. Step 2: Convert to fraction form
    357,536.57/493,278.25 = 204,519.01/x
  3. Step 3: Cross multiply
    357,536.57x = 493,278.25 × 204,519.01
  4. Step 4: Simplify right side
    357,536.57x = 100,884,777,600.04
  5. Step 5: Solve for x
    x = 100,884,777,600.04/357,536.57
  6. Step 6: Final answer
    x = 282,166.32

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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.