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Finding the Fourth Proportional to 364,842.98, 547,266.30 and 164,929.28

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Solution

The fourth proportional to 364,842.98, 547,266.30 and 164,929.28 is: 247,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,842.98 : 547,266.30 = 164,929.28 : x
  2. Step 2: Convert to fraction form
    364,842.98/547,266.30 = 164,929.28/x
  3. Step 3: Cross multiply
    364,842.98x = 547,266.30 × 164,929.28
  4. Step 4: Simplify right side
    364,842.98x = 90,260,236,827.26
  5. Step 5: Solve for x
    x = 90,260,236,827.26/364,842.98
  6. Step 6: Final answer
    x = 247,394.75

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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.