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Finding the Fourth Proportional to 384,082.40, 576,166.80 and 117,840.80

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Solution

The fourth proportional to 384,082.40, 576,166.80 and 117,840.80 is: 176,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,082.40 : 576,166.80 = 117,840.80 : x
  2. Step 2: Convert to fraction form
    384,082.40/576,166.80 = 117,840.80/x
  3. Step 3: Cross multiply
    384,082.40x = 576,166.80 × 117,840.80
  4. Step 4: Simplify right side
    384,082.40x = 67,895,956,645.44
  5. Step 5: Solve for x
    x = 67,895,956,645.44/384,082.40
  6. Step 6: Final answer
    x = 176,774.45

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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.