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Finding the Fourth Proportional to 285,534.80, 428,302.20 and 174,942.80

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Solution

The fourth proportional to 285,534.80, 428,302.20 and 174,942.80 is: 262,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534.80 : 428,302.20 = 174,942.80 : x
  2. Step 2: Convert to fraction form
    285,534.80/428,302.20 = 174,942.80/x
  3. Step 3: Cross multiply
    285,534.80x = 428,302.20 × 174,942.80
  4. Step 4: Simplify right side
    285,534.80x = 74,928,386,114.16
  5. Step 5: Solve for x
    x = 74,928,386,114.16/285,534.80
  6. Step 6: Final answer
    x = 262,414.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.