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Finding the Fourth Proportional to 460,757.07, 635,767.67 and 256,763.28

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Solution

The fourth proportional to 460,757.07, 635,767.67 and 256,763.28 is: 354,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,757.07 : 635,767.67 = 256,763.28 : x
  2. Step 2: Convert to fraction form
    460,757.07/635,767.67 = 256,763.28/x
  3. Step 3: Cross multiply
    460,757.07x = 635,767.67 × 256,763.28
  4. Step 4: Simplify right side
    460,757.07x = 163,241,787,804.50
  5. Step 5: Solve for x
    x = 163,241,787,804.50/460,757.07
  6. Step 6: Final answer
    x = 354,290.36

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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.