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Finding the Fourth Proportional to 542,065.26, 813,842.64 and 276,004.56

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Solution

The fourth proportional to 542,065.26, 813,842.64 and 276,004.56 is: 414,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,065.26 : 813,842.64 = 276,004.56 : x
  2. Step 2: Convert to fraction form
    542,065.26/813,842.64 = 276,004.56/x
  3. Step 3: Cross multiply
    542,065.26x = 813,842.64 × 276,004.56
  4. Step 4: Simplify right side
    542,065.26x = 224,624,279,762.44
  5. Step 5: Solve for x
    x = 224,624,279,762.44/542,065.26
  6. Step 6: Final answer
    x = 414,386.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.