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Finding the Fourth Proportional to 470,927.64, 650,120.94 and 363,255.96

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Solution

The fourth proportional to 470,927.64, 650,120.94 and 363,255.96 is: 501,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,927.64 : 650,120.94 = 363,255.96 : x
  2. Step 2: Convert to fraction form
    470,927.64/650,120.94 = 363,255.96/x
  3. Step 3: Cross multiply
    470,927.64x = 650,120.94 × 363,255.96
  4. Step 4: Simplify right side
    470,927.64x = 236,160,306,175.80
  5. Step 5: Solve for x
    x = 236,160,306,175.80/470,927.64
  6. Step 6: Final answer
    x = 501,478.97

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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.