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Finding the Fourth Proportional to 275,913.72, 413,888.20 and 73,506.46

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Solution

The fourth proportional to 275,913.72, 413,888.20 and 73,506.46 is: 110,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,913.72 : 413,888.20 = 73,506.46 : x
  2. Step 2: Convert to fraction form
    275,913.72/413,888.20 = 73,506.46/x
  3. Step 3: Cross multiply
    275,913.72x = 413,888.20 × 73,506.46
  4. Step 4: Simplify right side
    275,913.72x = 30,423,456,417.77
  5. Step 5: Solve for x
    x = 30,423,456,417.77/275,913.72
  6. Step 6: Final answer
    x = 110,264.38

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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.