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Finding the Fourth Proportional to 419,816.37, 579,340.71 and 228,830.52

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Solution

The fourth proportional to 419,816.37, 579,340.71 and 228,830.52 is: 315,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,816.37 : 579,340.71 = 228,830.52 : x
  2. Step 2: Convert to fraction form
    419,816.37/579,340.71 = 228,830.52/x
  3. Step 3: Cross multiply
    419,816.37x = 579,340.71 × 228,830.52
  4. Step 4: Simplify right side
    419,816.37x = 132,570,835,926.47
  5. Step 5: Solve for x
    x = 132,570,835,926.47/419,816.37
  6. Step 6: Final answer
    x = 315,782.91

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