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Finding the Fourth Proportional to 414,663.61, 621,772.43 and 243,944.34

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Solution

The fourth proportional to 414,663.61, 621,772.43 and 243,944.34 is: 365,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,663.61 : 621,772.43 = 243,944.34 : x
  2. Step 2: Convert to fraction form
    414,663.61/621,772.43 = 243,944.34/x
  3. Step 3: Cross multiply
    414,663.61x = 621,772.43 × 243,944.34
  4. Step 4: Simplify right side
    414,663.61x = 151,677,865,066.55
  5. Step 5: Solve for x
    x = 151,677,865,066.55/414,663.61
  6. Step 6: Final answer
    x = 365,785.33

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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.