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Finding the Fourth Proportional to 364,489.81, 546,714.28 and 111,769.61

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Solution

The fourth proportional to 364,489.81, 546,714.28 and 111,769.61 is: 167,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,489.81 : 546,714.28 = 111,769.61 : x
  2. Step 2: Convert to fraction form
    364,489.81/546,714.28 = 111,769.61/x
  3. Step 3: Cross multiply
    364,489.81x = 546,714.28 × 111,769.61
  4. Step 4: Simplify right side
    364,489.81x = 61,106,041,857.03
  5. Step 5: Solve for x
    x = 61,106,041,857.03/364,489.81
  6. Step 6: Final answer
    x = 167,648.15

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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.