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Finding the Fourth Proportional to 308,284.61, 461,264.14 and 181,993.55

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Solution

The fourth proportional to 308,284.61, 461,264.14 and 181,993.55 is: 272,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,284.61 : 461,264.14 = 181,993.55 : x
  2. Step 2: Convert to fraction form
    308,284.61/461,264.14 = 181,993.55/x
  3. Step 3: Cross multiply
    308,284.61x = 461,264.14 × 181,993.55
  4. Step 4: Simplify right side
    308,284.61x = 83,947,097,416.33
  5. Step 5: Solve for x
    x = 83,947,097,416.33/308,284.61
  6. Step 6: Final answer
    x = 272,303.89

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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.