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Finding the Fourth Proportional to 384,291.89, 576,465.41 and 110,726.90

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Solution

The fourth proportional to 384,291.89, 576,465.41 and 110,726.90 is: 166,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,291.89 : 576,465.41 = 110,726.90 : x
  2. Step 2: Convert to fraction form
    384,291.89/576,465.41 = 110,726.90/x
  3. Step 3: Cross multiply
    384,291.89x = 576,465.41 × 110,726.90
  4. Step 4: Simplify right side
    384,291.89x = 63,830,226,739.93
  5. Step 5: Solve for x
    x = 63,830,226,739.93/384,291.89
  6. Step 6: Final answer
    x = 166,098.29

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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.