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Finding the Fourth Proportional to 310,937.25, 465,658.46 and 177,412.70

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Solution

The fourth proportional to 310,937.25, 465,658.46 and 177,412.70 is: 265,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937.25 : 465,658.46 = 177,412.70 : x
  2. Step 2: Convert to fraction form
    310,937.25/465,658.46 = 177,412.70/x
  3. Step 3: Cross multiply
    310,937.25x = 465,658.46 × 177,412.70
  4. Step 4: Simplify right side
    310,937.25x = 82,613,724,666.44
  5. Step 5: Solve for x
    x = 82,613,724,666.44/310,937.25
  6. Step 6: Final answer
    x = 265,692.59

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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.