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Finding the Fourth Proportional to 428,233.46, 642,300.14 and 172,055.64

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Solution

The fourth proportional to 428,233.46, 642,300.14 and 172,055.64 is: 258,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,233.46 : 642,300.14 = 172,055.64 : x
  2. Step 2: Convert to fraction form
    428,233.46/642,300.14 = 172,055.64/x
  3. Step 3: Cross multiply
    428,233.46x = 642,300.14 × 172,055.64
  4. Step 4: Simplify right side
    428,233.46x = 110,511,361,659.79
  5. Step 5: Solve for x
    x = 110,511,361,659.79/428,233.46
  6. Step 6: Final answer
    x = 258,063.35

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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.