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Finding the Fourth Proportional to 394,354.83, 543,572.10 and 308,164.02

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Solution

The fourth proportional to 394,354.83, 543,572.10 and 308,164.02 is: 424,768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,354.83 : 543,572.10 = 308,164.02 : x
  2. Step 2: Convert to fraction form
    394,354.83/543,572.10 = 308,164.02/x
  3. Step 3: Cross multiply
    394,354.83x = 543,572.10 × 308,164.02
  4. Step 4: Simplify right side
    394,354.83x = 167,509,363,495.84
  5. Step 5: Solve for x
    x = 167,509,363,495.84/394,354.83
  6. Step 6: Final answer
    x = 424,768.13

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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.