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Finding the Fourth Proportional to 418,735.59, 628,361.70 and 194,054.16

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Solution

The fourth proportional to 418,735.59, 628,361.70 and 194,054.16 is: 291,200.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,735.59 : 628,361.70 = 194,054.16 : x
  2. Step 2: Convert to fraction form
    418,735.59/628,361.70 = 194,054.16/x
  3. Step 3: Cross multiply
    418,735.59x = 628,361.70 × 194,054.16
  4. Step 4: Simplify right side
    418,735.59x = 121,936,201,869.67
  5. Step 5: Solve for x
    x = 121,936,201,869.67/418,735.59
  6. Step 6: Final answer
    x = 291,200.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.