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Finding the Fourth Proportional to 389,514.38, 584,305.02 and 136,773.14

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Solution

The fourth proportional to 389,514.38, 584,305.02 and 136,773.14 is: 205,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,514.38 : 584,305.02 = 136,773.14 : x
  2. Step 2: Convert to fraction form
    389,514.38/584,305.02 = 136,773.14/x
  3. Step 3: Cross multiply
    389,514.38x = 584,305.02 × 136,773.14
  4. Step 4: Simplify right side
    389,514.38x = 79,917,232,303.16
  5. Step 5: Solve for x
    x = 79,917,232,303.16/389,514.38
  6. Step 6: Final answer
    x = 205,171.46

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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.