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Finding the Fourth Proportional to 460,370.56, 635,265.96 and 256,414.64

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Solution

The fourth proportional to 460,370.56, 635,265.96 and 256,414.64 is: 353,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,370.56 : 635,265.96 = 256,414.64 : x
  2. Step 2: Convert to fraction form
    460,370.56/635,265.96 = 256,414.64/x
  3. Step 3: Cross multiply
    460,370.56x = 635,265.96 × 256,414.64
  4. Step 4: Simplify right side
    460,370.56x = 162,891,492,437.65
  5. Step 5: Solve for x
    x = 162,891,492,437.65/460,370.56
  6. Step 6: Final answer
    x = 353,826.91

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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.