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Finding the Fourth Proportional to 294,080.08, 405,506.33 and 203,278.42

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Solution

The fourth proportional to 294,080.08, 405,506.33 and 203,278.42 is: 280,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,080.08 : 405,506.33 = 203,278.42 : x
  2. Step 2: Convert to fraction form
    294,080.08/405,506.33 = 203,278.42/x
  3. Step 3: Cross multiply
    294,080.08x = 405,506.33 × 203,278.42
  4. Step 4: Simplify right side
    294,080.08x = 82,430,686,313.71
  5. Step 5: Solve for x
    x = 82,430,686,313.71/294,080.08
  6. Step 6: Final answer
    x = 280,300.13

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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.