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Finding the Fourth Proportional to 419,485.39, 578,889.84 and 228,498.79

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Solution

The fourth proportional to 419,485.39, 578,889.84 and 228,498.79 is: 315,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,485.39 : 578,889.84 = 228,498.79 : x
  2. Step 2: Convert to fraction form
    419,485.39/578,889.84 = 228,498.79/x
  3. Step 3: Cross multiply
    419,485.39x = 578,889.84 × 228,498.79
  4. Step 4: Simplify right side
    419,485.39x = 132,275,626,196.83
  5. Step 5: Solve for x
    x = 132,275,626,196.83/419,485.39
  6. Step 6: Final answer
    x = 315,328.32

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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.