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Finding the Fourth Proportional to 386,617.14, 580,009.13 and 116,722.89

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Solution

The fourth proportional to 386,617.14, 580,009.13 and 116,722.89 is: 175,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,617.14 : 580,009.13 = 116,722.89 : x
  2. Step 2: Convert to fraction form
    386,617.14/580,009.13 = 116,722.89/x
  3. Step 3: Cross multiply
    386,617.14x = 580,009.13 × 116,722.89
  4. Step 4: Simplify right side
    386,617.14x = 67,700,341,879.99
  5. Step 5: Solve for x
    x = 67,700,341,879.99/386,617.14
  6. Step 6: Final answer
    x = 175,109.52

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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.