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Finding the Fourth Proportional to 310,937.38, 465,658.66 and 177,412.83

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Solution

The fourth proportional to 310,937.38, 465,658.66 and 177,412.83 is: 265,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937.38 : 465,658.66 = 177,412.83 : x
  2. Step 2: Convert to fraction form
    310,937.38/465,658.66 = 177,412.83/x
  3. Step 3: Cross multiply
    310,937.38x = 465,658.66 × 177,412.83
  4. Step 4: Simplify right side
    310,937.38x = 82,613,820,241.08
  5. Step 5: Solve for x
    x = 82,613,820,241.08/310,937.38
  6. Step 6: Final answer
    x = 265,692.79

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1.5x scale

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.