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Finding the Fourth Proportional to 471,615.90, 650,826.03 and 256,755.52

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Solution

The fourth proportional to 471,615.90, 650,826.03 and 256,755.52 is: 354,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,615.90 : 650,826.03 = 256,755.52 : x
  2. Step 2: Convert to fraction form
    471,615.90/650,826.03 = 256,755.52/x
  3. Step 3: Cross multiply
    471,615.90x = 650,826.03 × 256,755.52
  4. Step 4: Simplify right side
    471,615.90x = 167,103,175,762.19
  5. Step 5: Solve for x
    x = 167,103,175,762.19/471,615.90
  6. Step 6: Final answer
    x = 354,320.49

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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.