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Finding the Fourth Proportional to 298,714.48, 411,998.34 and 203,059.96

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Solution

The fourth proportional to 298,714.48, 411,998.34 and 203,059.96 is: 280,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,714.48 : 411,998.34 = 203,059.96 : x
  2. Step 2: Convert to fraction form
    298,714.48/411,998.34 = 203,059.96/x
  3. Step 3: Cross multiply
    298,714.48x = 411,998.34 × 203,059.96
  4. Step 4: Simplify right side
    298,714.48x = 83,660,366,440.47
  5. Step 5: Solve for x
    x = 83,660,366,440.47/298,714.48
  6. Step 6: Final answer
    x = 280,068.00

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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.