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Finding the Fourth Proportional to 456,019.38, 629,282.16 and 252,058.14

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Solution

The fourth proportional to 456,019.38, 629,282.16 and 252,058.14 is: 347,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,019.38 : 629,282.16 = 252,058.14 : x
  2. Step 2: Convert to fraction form
    456,019.38/629,282.16 = 252,058.14/x
  3. Step 3: Cross multiply
    456,019.38x = 629,282.16 × 252,058.14
  4. Step 4: Simplify right side
    456,019.38x = 158,615,690,784.78
  5. Step 5: Solve for x
    x = 158,615,690,784.78/456,019.38
  6. Step 6: Final answer
    x = 347,826.64

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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.