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Finding the Fourth Proportional to 402,013.84, 554,786.40 and 220,742.88

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Solution

The fourth proportional to 402,013.84, 554,786.40 and 220,742.88 is: 304,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,013.84 : 554,786.40 = 220,742.88 : x
  2. Step 2: Convert to fraction form
    402,013.84/554,786.40 = 220,742.88/x
  3. Step 3: Cross multiply
    402,013.84x = 554,786.40 × 220,742.88
  4. Step 4: Simplify right side
    402,013.84x = 122,465,147,720.83
  5. Step 5: Solve for x
    x = 122,465,147,720.83/402,013.84
  6. Step 6: Final answer
    x = 304,629.18

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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.