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Finding the Fourth Proportional to 403,422.40, 605,133.60 and 122,903.20

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Solution

The fourth proportional to 403,422.40, 605,133.60 and 122,903.20 is: 184,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,422.40 : 605,133.60 = 122,903.20 : x
  2. Step 2: Convert to fraction form
    403,422.40/605,133.60 = 122,903.20/x
  3. Step 3: Cross multiply
    403,422.40x = 605,133.60 × 122,903.20
  4. Step 4: Simplify right side
    403,422.40x = 74,372,855,867.52
  5. Step 5: Solve for x
    x = 74,372,855,867.52/403,422.40
  6. Step 6: Final answer
    x = 184,354.80

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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.