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Finding the Fourth Proportional to 573,409.29, 791,216.25 and 331,714.36

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Solution

The fourth proportional to 573,409.29, 791,216.25 and 331,714.36 is: 457,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,409.29 : 791,216.25 = 331,714.36 : x
  2. Step 2: Convert to fraction form
    573,409.29/791,216.25 = 331,714.36/x
  3. Step 3: Cross multiply
    573,409.29x = 791,216.25 × 331,714.36
  4. Step 4: Simplify right side
    573,409.29x = 262,457,790,012.31
  5. Step 5: Solve for x
    x = 262,457,790,012.31/573,409.29
  6. Step 6: Final answer
    x = 457,714.57

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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.