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Finding the Fourth Proportional to 441,852.57, 610,253.19 and 298,363.50

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Solution

The fourth proportional to 441,852.57, 610,253.19 and 298,363.50 is: 412,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,852.57 : 610,253.19 = 298,363.50 : x
  2. Step 2: Convert to fraction form
    441,852.57/610,253.19 = 298,363.50/x
  3. Step 3: Cross multiply
    441,852.57x = 610,253.19 × 298,363.50
  4. Step 4: Simplify right side
    441,852.57x = 182,077,277,654.57
  5. Step 5: Solve for x
    x = 182,077,277,654.57/441,852.57
  6. Step 6: Final answer
    x = 412,076.99

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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.