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Finding the Fourth Proportional to 418,585.50, 627,878.28 and 123,097.50

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Solution

The fourth proportional to 418,585.50, 627,878.28 and 123,097.50 is: 184,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,585.50 : 627,878.28 = 123,097.50 : x
  2. Step 2: Convert to fraction form
    418,585.50/627,878.28 = 123,097.50/x
  3. Step 3: Cross multiply
    418,585.50x = 627,878.28 × 123,097.50
  4. Step 4: Simplify right side
    418,585.50x = 77,290,247,033.92
  5. Step 5: Solve for x
    x = 77,290,247,033.92/418,585.50
  6. Step 6: Final answer
    x = 184,646.26

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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.