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Finding the Fourth Proportional to 394,176.95, 543,964.71 and 224,411.07

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Solution

The fourth proportional to 394,176.95, 543,964.71 and 224,411.07 is: 309,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,176.95 : 543,964.71 = 224,411.07 : x
  2. Step 2: Convert to fraction form
    394,176.95/543,964.71 = 224,411.07/x
  3. Step 3: Cross multiply
    394,176.95x = 543,964.71 × 224,411.07
  4. Step 4: Simplify right side
    394,176.95x = 122,071,702,613.34
  5. Step 5: Solve for x
    x = 122,071,702,613.34/394,176.95
  6. Step 6: Final answer
    x = 309,687.58

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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.