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Finding the Fourth Proportional to 471,698.13, 650,934.99 and 256,834.29

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Solution

The fourth proportional to 471,698.13, 650,934.99 and 256,834.29 is: 354,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,698.13 : 650,934.99 = 256,834.29 : x
  2. Step 2: Convert to fraction form
    471,698.13/650,934.99 = 256,834.29/x
  3. Step 3: Cross multiply
    471,698.13x = 650,934.99 × 256,834.29
  4. Step 4: Simplify right side
    471,698.13x = 167,182,425,992.81
  5. Step 5: Solve for x
    x = 167,182,425,992.81/471,698.13
  6. Step 6: Final answer
    x = 354,426.73

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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.