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Finding the Fourth Proportional to 411,164.70, 616,455.45 and 186,632.70

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Solution

The fourth proportional to 411,164.70, 616,455.45 and 186,632.70 is: 279,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,164.70 : 616,455.45 = 186,632.70 : x
  2. Step 2: Convert to fraction form
    411,164.70/616,455.45 = 186,632.70/x
  3. Step 3: Cross multiply
    411,164.70x = 616,455.45 × 186,632.70
  4. Step 4: Simplify right side
    411,164.70x = 115,050,745,063.22
  5. Step 5: Solve for x
    x = 115,050,745,063.22/411,164.70
  6. Step 6: Final answer
    x = 279,816.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.