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Finding the Fourth Proportional to 403,732.10, 605,598.15 and 123,212.90

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Solution

The fourth proportional to 403,732.10, 605,598.15 and 123,212.90 is: 184,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,732.10 : 605,598.15 = 123,212.90 : x
  2. Step 2: Convert to fraction form
    403,732.10/605,598.15 = 123,212.90/x
  3. Step 3: Cross multiply
    403,732.10x = 605,598.15 × 123,212.90
  4. Step 4: Simplify right side
    403,732.10x = 74,617,504,296.14
  5. Step 5: Solve for x
    x = 74,617,504,296.14/403,732.10
  6. Step 6: Final answer
    x = 184,819.35

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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.