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Finding the Fourth Proportional to 419,777.16, 579,304.62 and 228,802.92

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Solution

The fourth proportional to 419,777.16, 579,304.62 and 228,802.92 is: 315,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,777.16 : 579,304.62 = 228,802.92 : x
  2. Step 2: Convert to fraction form
    419,777.16/579,304.62 = 228,802.92/x
  3. Step 3: Cross multiply
    419,777.16x = 579,304.62 × 228,802.92
  4. Step 4: Simplify right side
    419,777.16x = 132,546,588,625.49
  5. Step 5: Solve for x
    x = 132,546,588,625.49/419,777.16
  6. Step 6: Final answer
    x = 315,754.65

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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.