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Finding the Fourth Proportional to 460,266.26, 635,162.31 and 256,312.71

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Solution

The fourth proportional to 460,266.26, 635,162.31 and 256,312.71 is: 353,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,266.26 : 635,162.31 = 256,312.71 : x
  2. Step 2: Convert to fraction form
    460,266.26/635,162.31 = 256,312.71/x
  3. Step 3: Cross multiply
    460,266.26x = 635,162.31 × 256,312.71
  4. Step 4: Simplify right side
    460,266.26x = 162,800,172,965.96
  5. Step 5: Solve for x
    x = 162,800,172,965.96/460,266.26
  6. Step 6: Final answer
    x = 353,708.69

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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.