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Finding the Fourth Proportional to 414,998.90, 572,690.69 and 253,842.11

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Solution

The fourth proportional to 414,998.90, 572,690.69 and 253,842.11 is: 350,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,998.90 : 572,690.69 = 253,842.11 : x
  2. Step 2: Convert to fraction form
    414,998.90/572,690.69 = 253,842.11/x
  3. Step 3: Cross multiply
    414,998.90x = 572,690.69 × 253,842.11
  4. Step 4: Simplify right side
    414,998.90x = 145,373,008,994.29
  5. Step 5: Solve for x
    x = 145,373,008,994.29/414,998.90
  6. Step 6: Final answer
    x = 350,297.34

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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.