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Finding the Fourth Proportional to 601,568.50, 830,164.54 and 359,861.26

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Solution

The fourth proportional to 601,568.50, 830,164.54 and 359,861.26 is: 496,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,568.50 : 830,164.54 = 359,861.26 : x
  2. Step 2: Convert to fraction form
    601,568.50/830,164.54 = 359,861.26/x
  3. Step 3: Cross multiply
    601,568.50x = 830,164.54 × 359,861.26
  4. Step 4: Simplify right side
    601,568.50x = 298,744,057,371.72
  5. Step 5: Solve for x
    x = 298,744,057,371.72/601,568.50
  6. Step 6: Final answer
    x = 496,608.54

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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.