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Finding the Fourth Proportional to 596,378.26, 894,761.79 and 280,867.06

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Solution

The fourth proportional to 596,378.26, 894,761.79 and 280,867.06 is: 421,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,378.26 : 894,761.79 = 280,867.06 : x
  2. Step 2: Convert to fraction form
    596,378.26/894,761.79 = 280,867.06/x
  3. Step 3: Cross multiply
    596,378.26x = 894,761.79 × 280,867.06
  4. Step 4: Simplify right side
    596,378.26x = 251,309,113,357.64
  5. Step 5: Solve for x
    x = 251,309,113,357.64/596,378.26
  6. Step 6: Final answer
    x = 421,392.14

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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.