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Finding the Fourth Proportional to 364,523.30, 546,788.20 and 111,804.96

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Solution

The fourth proportional to 364,523.30, 546,788.20 and 111,804.96 is: 167,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,523.30 : 546,788.20 = 111,804.96 : x
  2. Step 2: Convert to fraction form
    364,523.30/546,788.20 = 111,804.96/x
  3. Step 3: Cross multiply
    364,523.30x = 546,788.20 × 111,804.96
  4. Step 4: Simplify right side
    364,523.30x = 61,133,632,829.47
  5. Step 5: Solve for x
    x = 61,133,632,829.47/364,523.30
  6. Step 6: Final answer
    x = 167,708.44

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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.