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Finding the Fourth Proportional to 416,214.79, 574,164.83 and 252,827.95

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Solution

The fourth proportional to 416,214.79, 574,164.83 and 252,827.95 is: 348,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,214.79 : 574,164.83 = 252,827.95 : x
  2. Step 2: Convert to fraction form
    416,214.79/574,164.83 = 252,827.95/x
  3. Step 3: Cross multiply
    416,214.79x = 574,164.83 × 252,827.95
  4. Step 4: Simplify right side
    416,214.79x = 145,164,912,796.04
  5. Step 5: Solve for x
    x = 145,164,912,796.04/416,214.79
  6. Step 6: Final answer
    x = 348,774.04

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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.