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Finding the Fourth Proportional to 460,348.21, 635,278.56 and 256,401.55

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Solution

The fourth proportional to 460,348.21, 635,278.56 and 256,401.55 is: 353,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,348.21 : 635,278.56 = 256,401.55 : x
  2. Step 2: Convert to fraction form
    460,348.21/635,278.56 = 256,401.55/x
  3. Step 3: Cross multiply
    460,348.21x = 635,278.56 × 256,401.55
  4. Step 4: Simplify right side
    460,348.21x = 162,886,404,289.38
  5. Step 5: Solve for x
    x = 162,886,404,289.38/460,348.21
  6. Step 6: Final answer
    x = 353,833.04

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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.