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Finding the Fourth Proportional to 414,999.14, 572,691.04 and 253,842.34

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Solution

The fourth proportional to 414,999.14, 572,691.04 and 253,842.34 is: 350,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,999.14 : 572,691.04 = 253,842.34 : x
  2. Step 2: Convert to fraction form
    414,999.14/572,691.04 = 253,842.34/x
  3. Step 3: Cross multiply
    414,999.14x = 572,691.04 × 253,842.34
  4. Step 4: Simplify right side
    414,999.14x = 145,373,233,690.63
  5. Step 5: Solve for x
    x = 145,373,233,690.63/414,999.14
  6. Step 6: Final answer
    x = 350,297.67

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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.