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Finding the Fourth Proportional to 384,032.24, 576,051.78 and 117,794

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Solution

The fourth proportional to 384,032.24, 576,051.78 and 117,794 is: 176,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,032.24 : 576,051.78 = 117,794 : x
  2. Step 2: Convert to fraction form
    384,032.24/576,051.78 = 117,794/x
  3. Step 3: Cross multiply
    384,032.24x = 576,051.78 × 117,794
  4. Step 4: Simplify right side
    384,032.24x = 67,855,443,373.32
  5. Step 5: Solve for x
    x = 67,855,443,373.32/384,032.24
  6. Step 6: Final answer
    x = 176,692.05

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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.