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Finding the Fourth Proportional to 471,589.40, 650,773.46 and 256,725

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Solution

The fourth proportional to 471,589.40, 650,773.46 and 256,725 is: 354,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,589.40 : 650,773.46 = 256,725 : x
  2. Step 2: Convert to fraction form
    471,589.40/650,773.46 = 256,725/x
  3. Step 3: Cross multiply
    471,589.40x = 650,773.46 × 256,725
  4. Step 4: Simplify right side
    471,589.40x = 167,069,816,518.50
  5. Step 5: Solve for x
    x = 167,069,816,518.50/471,589.40
  6. Step 6: Final answer
    x = 354,269.66

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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.