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Finding the Fourth Proportional to 378,861.94, 567,840.98 and 176,184.45

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Solution

The fourth proportional to 378,861.94, 567,840.98 and 176,184.45 is: 264,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,861.94 : 567,840.98 = 176,184.45 : x
  2. Step 2: Convert to fraction form
    378,861.94/567,840.98 = 176,184.45/x
  3. Step 3: Cross multiply
    378,861.94x = 567,840.98 × 176,184.45
  4. Step 4: Simplify right side
    378,861.94x = 100,044,747,909.56
  5. Step 5: Solve for x
    x = 100,044,747,909.56/378,861.94
  6. Step 6: Final answer
    x = 264,066.51

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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.