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Finding the Fourth Proportional to 655,187.84, 983,022.12 and 276,203.96

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Solution

The fourth proportional to 655,187.84, 983,022.12 and 276,203.96 is: 414,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,187.84 : 983,022.12 = 276,203.96 : x
  2. Step 2: Convert to fraction form
    655,187.84/983,022.12 = 276,203.96/x
  3. Step 3: Cross multiply
    655,187.84x = 983,022.12 × 276,203.96
  4. Step 4: Simplify right side
    655,187.84x = 271,514,602,311.60
  5. Step 5: Solve for x
    x = 271,514,602,311.60/655,187.84
  6. Step 6: Final answer
    x = 414,407.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.