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Finding the Fourth Proportional to 460,201.74, 635,072.35 and 253,466.16

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Solution

The fourth proportional to 460,201.74, 635,072.35 and 253,466.16 is: 349,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,201.74 : 635,072.35 = 253,466.16 : x
  2. Step 2: Convert to fraction form
    460,201.74/635,072.35 = 253,466.16/x
  3. Step 3: Cross multiply
    460,201.74x = 635,072.35 × 253,466.16
  4. Step 4: Simplify right side
    460,201.74x = 160,969,349,876.68
  5. Step 5: Solve for x
    x = 160,969,349,876.68/460,201.74
  6. Step 6: Final answer
    x = 349,779.97

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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.