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Finding the Fourth Proportional to 403,663.14, 605,524.14 and 163,661.76

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Solution

The fourth proportional to 403,663.14, 605,524.14 and 163,661.76 is: 245,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,663.14 : 605,524.14 = 163,661.76 : x
  2. Step 2: Convert to fraction form
    403,663.14/605,524.14 = 163,661.76/x
  3. Step 3: Cross multiply
    403,663.14x = 605,524.14 × 163,661.76
  4. Step 4: Simplify right side
    403,663.14x = 99,101,146,474.89
  5. Step 5: Solve for x
    x = 99,101,146,474.89/403,663.14
  6. Step 6: Final answer
    x = 245,504.57

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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.