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Finding the Fourth Proportional to 456,140.66, 629,419.65 and 252,164.18

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Solution

The fourth proportional to 456,140.66, 629,419.65 and 252,164.18 is: 347,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,140.66 : 629,419.65 = 252,164.18 : x
  2. Step 2: Convert to fraction form
    456,140.66/629,419.65 = 252,164.18/x
  3. Step 3: Cross multiply
    456,140.66x = 629,419.65 × 252,164.18
  4. Step 4: Simplify right side
    456,140.66x = 158,717,086,771.04
  5. Step 5: Solve for x
    x = 158,717,086,771.04/456,140.66
  6. Step 6: Final answer
    x = 347,956.46

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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.