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Finding the Fourth Proportional to 416,164, 574,244.70 and 252,735.50

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Solution

The fourth proportional to 416,164, 574,244.70 and 252,735.50 is: 348,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,164 : 574,244.70 = 252,735.50 : x
  2. Step 2: Convert to fraction form
    416,164/574,244.70 = 252,735.50/x
  3. Step 3: Cross multiply
    416,164x = 574,244.70 × 252,735.50
  4. Step 4: Simplify right side
    416,164x = 145,132,021,376.85
  5. Step 5: Solve for x
    x = 145,132,021,376.85/416,164
  6. Step 6: Final answer
    x = 348,737.57

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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.