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Finding the Fourth Proportional to 397,675.50, 548,792.19 and 218,827.50

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Solution

The fourth proportional to 397,675.50, 548,792.19 and 218,827.50 is: 301,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,675.50 : 548,792.19 = 218,827.50 : x
  2. Step 2: Convert to fraction form
    397,675.50/548,792.19 = 218,827.50/x
  3. Step 3: Cross multiply
    397,675.50x = 548,792.19 × 218,827.50
  4. Step 4: Simplify right side
    397,675.50x = 120,090,822,957.23
  5. Step 5: Solve for x
    x = 120,090,822,957.23/397,675.50
  6. Step 6: Final answer
    x = 301,981.95

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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.