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Finding the Fourth Proportional to 364,262.11, 546,458.91 and 164,676.49

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Solution

The fourth proportional to 364,262.11, 546,458.91 and 164,676.49 is: 247,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,262.11 : 546,458.91 = 164,676.49 : x
  2. Step 2: Convert to fraction form
    364,262.11/546,458.91 = 164,676.49/x
  3. Step 3: Cross multiply
    364,262.11x = 546,458.91 × 164,676.49
  4. Step 4: Simplify right side
    364,262.11x = 89,988,935,228.03
  5. Step 5: Solve for x
    x = 89,988,935,228.03/364,262.11
  6. Step 6: Final answer
    x = 247,044.46

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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.