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Finding the Fourth Proportional to 442,283.21, 609,868.49 and 298,794.11

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Solution

The fourth proportional to 442,283.21, 609,868.49 and 298,794.11 is: 412,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,283.21 : 609,868.49 = 298,794.11 : x
  2. Step 2: Convert to fraction form
    442,283.21/609,868.49 = 298,794.11/x
  3. Step 3: Cross multiply
    442,283.21x = 609,868.49 × 298,794.11
  4. Step 4: Simplify right side
    442,283.21x = 182,225,108,143.28
  5. Step 5: Solve for x
    x = 182,225,108,143.28/442,283.21
  6. Step 6: Final answer
    x = 412,010.01

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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.