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Finding the Fourth Proportional to 410,692.16, 616,333.12 and 174,101.12

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Solution

The fourth proportional to 410,692.16, 616,333.12 and 174,101.12 is: 261,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,692.16 : 616,333.12 = 174,101.12 : x
  2. Step 2: Convert to fraction form
    410,692.16/616,333.12 = 174,101.12/x
  3. Step 3: Cross multiply
    410,692.16x = 616,333.12 × 174,101.12
  4. Step 4: Simplify right side
    410,692.16x = 107,304,286,485.09
  5. Step 5: Solve for x
    x = 107,304,286,485.09/410,692.16
  6. Step 6: Final answer
    x = 261,276.69

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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.