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Finding the Fourth Proportional to 294,996.04, 441,871.90 and 200,284.36

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Solution

The fourth proportional to 294,996.04, 441,871.90 and 200,284.36 is: 300,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,996.04 : 441,871.90 = 200,284.36 : x
  2. Step 2: Convert to fraction form
    294,996.04/441,871.90 = 200,284.36/x
  3. Step 3: Cross multiply
    294,996.04x = 441,871.90 × 200,284.36
  4. Step 4: Simplify right side
    294,996.04x = 88,500,030,693.48
  5. Step 5: Solve for x
    x = 88,500,030,693.48/294,996.04
  6. Step 6: Final answer
    x = 300,004.13

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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.