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Finding the Fourth Proportional to 364,022.91, 546,280.53 and 127,367.64

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Solution

The fourth proportional to 364,022.91, 546,280.53 and 127,367.64 is: 191,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,022.91 : 546,280.53 = 127,367.64 : x
  2. Step 2: Convert to fraction form
    364,022.91/546,280.53 = 127,367.64/x
  3. Step 3: Cross multiply
    364,022.91x = 546,280.53 × 127,367.64
  4. Step 4: Simplify right side
    364,022.91x = 69,578,461,884.05
  5. Step 5: Solve for x
    x = 69,578,461,884.05/364,022.91
  6. Step 6: Final answer
    x = 191,137.59

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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.