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Finding the Fourth Proportional to 418,194.14, 627,606.68 and 193,712.07

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Solution

The fourth proportional to 418,194.14, 627,606.68 and 193,712.07 is: 290,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,194.14 : 627,606.68 = 193,712.07 : x
  2. Step 2: Convert to fraction form
    418,194.14/627,606.68 = 193,712.07/x
  3. Step 3: Cross multiply
    418,194.14x = 627,606.68 × 193,712.07
  4. Step 4: Simplify right side
    418,194.14x = 121,574,991,603.22
  5. Step 5: Solve for x
    x = 121,574,991,603.22/418,194.14
  6. Step 6: Final answer
    x = 290,714.24

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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.