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Finding the Fourth Proportional to 301,602.35, 416,372.83 and 232,540.98

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Solution

The fourth proportional to 301,602.35, 416,372.83 and 232,540.98 is: 321,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,602.35 : 416,372.83 = 232,540.98 : x
  2. Step 2: Convert to fraction form
    301,602.35/416,372.83 = 232,540.98/x
  3. Step 3: Cross multiply
    301,602.35x = 416,372.83 × 232,540.98
  4. Step 4: Simplify right side
    301,602.35x = 96,823,743,851.71
  5. Step 5: Solve for x
    x = 96,823,743,851.71/301,602.35
  6. Step 6: Final answer
    x = 321,031.13

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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.