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Finding the Fourth Proportional to 357,773.18, 493,716.55 and 204,806.30

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Solution

The fourth proportional to 357,773.18, 493,716.55 and 204,806.30 is: 282,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,773.18 : 493,716.55 = 204,806.30 : x
  2. Step 2: Convert to fraction form
    357,773.18/493,716.55 = 204,806.30/x
  3. Step 3: Cross multiply
    357,773.18x = 493,716.55 × 204,806.30
  4. Step 4: Simplify right side
    357,773.18x = 101,116,259,854.27
  5. Step 5: Solve for x
    x = 101,116,259,854.27/357,773.18
  6. Step 6: Final answer
    x = 282,626.72

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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.