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Finding the Fourth Proportional to 297,681.46, 410,798.77 and 161,714.32

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Solution

The fourth proportional to 297,681.46, 410,798.77 and 161,714.32 is: 223,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,681.46 : 410,798.77 = 161,714.32 : x
  2. Step 2: Convert to fraction form
    297,681.46/410,798.77 = 161,714.32/x
  3. Step 3: Cross multiply
    297,681.46x = 410,798.77 × 161,714.32
  4. Step 4: Simplify right side
    297,681.46x = 66,432,042,720.39
  5. Step 5: Solve for x
    x = 66,432,042,720.39/297,681.46
  6. Step 6: Final answer
    x = 223,164.87

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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.