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Finding the Fourth Proportional to 364,498.92, 546,764.85 and 111,760.97

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Solution

The fourth proportional to 364,498.92, 546,764.85 and 111,760.97 is: 167,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,498.92 : 546,764.85 = 111,760.97 : x
  2. Step 2: Convert to fraction form
    364,498.92/546,764.85 = 111,760.97/x
  3. Step 3: Cross multiply
    364,498.92x = 546,764.85 × 111,760.97
  4. Step 4: Simplify right side
    364,498.92x = 61,106,967,264.08
  5. Step 5: Solve for x
    x = 61,106,967,264.08/364,498.92
  6. Step 6: Final answer
    x = 167,646.50

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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.