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Finding the Fourth Proportional to 294,949.44, 442,423.68 and 235,506.56

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Solution

The fourth proportional to 294,949.44, 442,423.68 and 235,506.56 is: 353,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,949.44 : 442,423.68 = 235,506.56 : x
  2. Step 2: Convert to fraction form
    294,949.44/442,423.68 = 235,506.56/x
  3. Step 3: Cross multiply
    294,949.44x = 442,423.68 × 235,506.56
  4. Step 4: Simplify right side
    294,949.44x = 104,193,678,939.34
  5. Step 5: Solve for x
    x = 104,193,678,939.34/294,949.44
  6. Step 6: Final answer
    x = 353,259.46

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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.