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Finding the Fourth Proportional to 419,713.78, 579,188.14 and 228,723.06

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Solution

The fourth proportional to 419,713.78, 579,188.14 and 228,723.06 is: 315,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,713.78 : 579,188.14 = 228,723.06 : x
  2. Step 2: Convert to fraction form
    419,713.78/579,188.14 = 228,723.06/x
  3. Step 3: Cross multiply
    419,713.78x = 579,188.14 × 228,723.06
  4. Step 4: Simplify right side
    419,713.78x = 132,473,683,696.51
  5. Step 5: Solve for x
    x = 132,473,683,696.51/419,713.78
  6. Step 6: Final answer
    x = 315,628.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.