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Finding the Fourth Proportional to 403,492.86, 605,239.16 and 133,548.48

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Solution

The fourth proportional to 403,492.86, 605,239.16 and 133,548.48 is: 200,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,492.86 : 605,239.16 = 133,548.48 : x
  2. Step 2: Convert to fraction form
    403,492.86/605,239.16 = 133,548.48/x
  3. Step 3: Cross multiply
    403,492.86x = 605,239.16 × 133,548.48
  4. Step 4: Simplify right side
    403,492.86x = 80,828,769,186.73
  5. Step 5: Solve for x
    x = 80,828,769,186.73/403,492.86
  6. Step 6: Final answer
    x = 200,322.68

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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.