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Finding the Fourth Proportional to 427,017, 589,283.46 and 257,286.36

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Solution

The fourth proportional to 427,017, 589,283.46 and 257,286.36 is: 355,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,017 : 589,283.46 = 257,286.36 : x
  2. Step 2: Convert to fraction form
    427,017/589,283.46 = 257,286.36/x
  3. Step 3: Cross multiply
    427,017x = 589,283.46 × 257,286.36
  4. Step 4: Simplify right side
    427,017x = 151,614,596,431.61
  5. Step 5: Solve for x
    x = 151,614,596,431.61/427,017
  6. Step 6: Final answer
    x = 355,055.18

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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.