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Finding the Fourth Proportional to 471,461.79, 650,631.06 and 256,615.77

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Solution

The fourth proportional to 471,461.79, 650,631.06 and 256,615.77 is: 354,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,461.79 : 650,631.06 = 256,615.77 : x
  2. Step 2: Convert to fraction form
    471,461.79/650,631.06 = 256,615.77/x
  3. Step 3: Cross multiply
    471,461.79x = 650,631.06 × 256,615.77
  4. Step 4: Simplify right side
    471,461.79x = 166,962,190,447.82
  5. Step 5: Solve for x
    x = 166,962,190,447.82/471,461.79
  6. Step 6: Final answer
    x = 354,137.27

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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.