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Finding the Fourth Proportional to 294,799.16, 406,820.36 and 165,738.20

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Solution

The fourth proportional to 294,799.16, 406,820.36 and 165,738.20 is: 228,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,799.16 : 406,820.36 = 165,738.20 : x
  2. Step 2: Convert to fraction form
    294,799.16/406,820.36 = 165,738.20/x
  3. Step 3: Cross multiply
    294,799.16x = 406,820.36 × 165,738.20
  4. Step 4: Simplify right side
    294,799.16x = 67,425,672,570.00
  5. Step 5: Solve for x
    x = 67,425,672,570.00/294,799.16
  6. Step 6: Final answer
    x = 228,717.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.