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Finding the Fourth Proportional to 471,609.24, 650,834.38 and 256,752.96

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Solution

The fourth proportional to 471,609.24, 650,834.38 and 256,752.96 is: 354,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,609.24 : 650,834.38 = 256,752.96 : x
  2. Step 2: Convert to fraction form
    471,609.24/650,834.38 = 256,752.96/x
  3. Step 3: Cross multiply
    471,609.24x = 650,834.38 × 256,752.96
  4. Step 4: Simplify right side
    471,609.24x = 167,103,653,534.77
  5. Step 5: Solve for x
    x = 167,103,653,534.77/471,609.24
  6. Step 6: Final answer
    x = 354,326.50

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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.