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Finding the Fourth Proportional to 357,890.79, 493,902.02 and 204,956.31

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Solution

The fourth proportional to 357,890.79, 493,902.02 and 204,956.31 is: 282,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,890.79 : 493,902.02 = 204,956.31 : x
  2. Step 2: Convert to fraction form
    357,890.79/493,902.02 = 204,956.31/x
  3. Step 3: Cross multiply
    357,890.79x = 493,902.02 × 204,956.31
  4. Step 4: Simplify right side
    357,890.79x = 101,228,334,495.97
  5. Step 5: Solve for x
    x = 101,228,334,495.97/357,890.79
  6. Step 6: Final answer
    x = 282,847.00

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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.