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Finding the Fourth Proportional to 418,194.37, 627,607.02 and 193,712.30

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Solution

The fourth proportional to 418,194.37, 627,607.02 and 193,712.30 is: 290,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,194.37 : 627,607.02 = 193,712.30 : x
  2. Step 2: Convert to fraction form
    418,194.37/627,607.02 = 193,712.30/x
  3. Step 3: Cross multiply
    418,194.37x = 627,607.02 × 193,712.30
  4. Step 4: Simplify right side
    418,194.37x = 121,575,196,202.31
  5. Step 5: Solve for x
    x = 121,575,196,202.31/418,194.37
  6. Step 6: Final answer
    x = 290,714.57

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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.