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Finding the Fourth Proportional to 481,533.63, 663,886.26 and 414,273.12

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Solution

The fourth proportional to 481,533.63, 663,886.26 and 414,273.12 is: 571,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,533.63 : 663,886.26 = 414,273.12 : x
  2. Step 2: Convert to fraction form
    481,533.63/663,886.26 = 414,273.12/x
  3. Step 3: Cross multiply
    481,533.63x = 663,886.26 × 414,273.12
  4. Step 4: Simplify right side
    481,533.63x = 275,030,229,765.76
  5. Step 5: Solve for x
    x = 275,030,229,765.76/481,533.63
  6. Step 6: Final answer
    x = 571,154.77

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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.