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Finding the Fourth Proportional to 902,142, 1,244,955.96 and 499,734

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Solution

The fourth proportional to 902,142, 1,244,955.96 and 499,734 is: 689,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,142 : 1,244,955.96 = 499,734 : x
  2. Step 2: Convert to fraction form
    902,142/1,244,955.96 = 499,734/x
  3. Step 3: Cross multiply
    902,142x = 1,244,955.96 × 499,734
  4. Step 4: Simplify right side
    902,142x = 622,146,821,714.64
  5. Step 5: Solve for x
    x = 622,146,821,714.64/902,142
  6. Step 6: Final answer
    x = 689,632.92

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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.