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Finding the Fourth Proportional to 403,480.36, 605,492.70 and 166,822.12

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Solution

The fourth proportional to 403,480.36, 605,492.70 and 166,822.12 is: 250,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,480.36 : 605,492.70 = 166,822.12 : x
  2. Step 2: Convert to fraction form
    403,480.36/605,492.70 = 166,822.12/x
  3. Step 3: Cross multiply
    403,480.36x = 605,492.70 × 166,822.12
  4. Step 4: Simplify right side
    403,480.36x = 101,009,575,858.52
  5. Step 5: Solve for x
    x = 101,009,575,858.52/403,480.36
  6. Step 6: Final answer
    x = 250,345.71

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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.