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Finding the Fourth Proportional to 357,881.19, 493,865.51 and 204,914.31

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Solution

The fourth proportional to 357,881.19, 493,865.51 and 204,914.31 is: 282,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,881.19 : 493,865.51 = 204,914.31 : x
  2. Step 2: Convert to fraction form
    357,881.19/493,865.51 = 204,914.31/x
  3. Step 3: Cross multiply
    357,881.19x = 493,865.51 × 204,914.31
  4. Step 4: Simplify right side
    357,881.19x = 101,200,109,189.88
  5. Step 5: Solve for x
    x = 101,200,109,189.88/357,881.19
  6. Step 6: Final answer
    x = 282,775.71

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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.