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Finding the Fourth Proportional to 622,051.20, 857,232.04 and 452,016

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Solution

The fourth proportional to 622,051.20, 857,232.04 and 452,016 is: 622,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,051.20 : 857,232.04 = 452,016 : x
  2. Step 2: Convert to fraction form
    622,051.20/857,232.04 = 452,016/x
  3. Step 3: Cross multiply
    622,051.20x = 857,232.04 × 452,016
  4. Step 4: Simplify right side
    622,051.20x = 387,482,597,792.64
  5. Step 5: Solve for x
    x = 387,482,597,792.64/622,051.20
  6. Step 6: Final answer
    x = 622,911.10

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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.