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Finding the Fourth Proportional to 471,718.26, 650,970.72 and 256,859.82

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Solution

The fourth proportional to 471,718.26, 650,970.72 and 256,859.82 is: 354,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,718.26 : 650,970.72 = 256,859.82 : x
  2. Step 2: Convert to fraction form
    471,718.26/650,970.72 = 256,859.82/x
  3. Step 3: Cross multiply
    471,718.26x = 650,970.72 × 256,859.82
  4. Step 4: Simplify right side
    471,718.26x = 167,208,221,964.47
  5. Step 5: Solve for x
    x = 167,208,221,964.47/471,718.26
  6. Step 6: Final answer
    x = 354,466.29

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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.