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Finding the Fourth Proportional to 296,443.58, 409,091.68 and 160,477.49

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Solution

The fourth proportional to 296,443.58, 409,091.68 and 160,477.49 is: 221,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,443.58 : 409,091.68 = 160,477.49 : x
  2. Step 2: Convert to fraction form
    296,443.58/409,091.68 = 160,477.49/x
  3. Step 3: Cross multiply
    296,443.58x = 409,091.68 × 160,477.49
  4. Step 4: Simplify right side
    296,443.58x = 65,650,005,310.11
  5. Step 5: Solve for x
    x = 65,650,005,310.11/296,443.58
  6. Step 6: Final answer
    x = 221,458.69

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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.