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Finding the Fourth Proportional to 460,683.80, 635,763.26 and 256,734.96

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Solution

The fourth proportional to 460,683.80, 635,763.26 and 256,734.96 is: 354,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,683.80 : 635,763.26 = 256,734.96 : x
  2. Step 2: Convert to fraction form
    460,683.80/635,763.26 = 256,734.96/x
  3. Step 3: Cross multiply
    460,683.80x = 635,763.26 × 256,734.96
  4. Step 4: Simplify right side
    460,683.80x = 163,222,655,125.57
  5. Step 5: Solve for x
    x = 163,222,655,125.57/460,683.80
  6. Step 6: Final answer
    x = 354,305.18

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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.