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Finding the Fourth Proportional to 460,279.85, 635,434.70 and 322,879.75

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Solution

The fourth proportional to 460,279.85, 635,434.70 and 322,879.75 is: 445,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,279.85 : 635,434.70 = 322,879.75 : x
  2. Step 2: Convert to fraction form
    460,279.85/635,434.70 = 322,879.75/x
  3. Step 3: Cross multiply
    460,279.85x = 635,434.70 × 322,879.75
  4. Step 4: Simplify right side
    460,279.85x = 205,168,997,077.33
  5. Step 5: Solve for x
    x = 205,168,997,077.33/460,279.85
  6. Step 6: Final answer
    x = 445,748.38

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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.