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Finding the Fourth Proportional to 471,403.26, 650,422.71 and 277,818.93

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Solution

The fourth proportional to 471,403.26, 650,422.71 and 277,818.93 is: 383,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,403.26 : 650,422.71 = 277,818.93 : x
  2. Step 2: Convert to fraction form
    471,403.26/650,422.71 = 277,818.93/x
  3. Step 3: Cross multiply
    471,403.26x = 650,422.71 × 277,818.93
  4. Step 4: Simplify right side
    471,403.26x = 180,699,741,339.90
  5. Step 5: Solve for x
    x = 180,699,741,339.90/471,403.26
  6. Step 6: Final answer
    x = 383,323.06

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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.