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Finding the Fourth Proportional to 364,114.69, 546,419.72 and 223,443.97

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Solution

The fourth proportional to 364,114.69, 546,419.72 and 223,443.97 is: 335,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,114.69 : 546,419.72 = 223,443.97 : x
  2. Step 2: Convert to fraction form
    364,114.69/546,419.72 = 223,443.97/x
  3. Step 3: Cross multiply
    364,114.69x = 546,419.72 × 223,443.97
  4. Step 4: Simplify right side
    364,114.69x = 122,094,190,405.87
  5. Step 5: Solve for x
    x = 122,094,190,405.87/364,114.69
  6. Step 6: Final answer
    x = 335,317.95

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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.