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Finding the Fourth Proportional to 419,724.65, 579,203.12 and 228,733.94

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Solution

The fourth proportional to 419,724.65, 579,203.12 and 228,733.94 is: 315,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,724.65 : 579,203.12 = 228,733.94 : x
  2. Step 2: Convert to fraction form
    419,724.65/579,203.12 = 228,733.94/x
  3. Step 3: Cross multiply
    419,724.65x = 579,203.12 × 228,733.94
  4. Step 4: Simplify right side
    419,724.65x = 132,483,413,717.74
  5. Step 5: Solve for x
    x = 132,483,413,717.74/419,724.65
  6. Step 6: Final answer
    x = 315,643.63

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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.