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Finding the Fourth Proportional to 364,116.48, 546,348.06 and 164,497.92

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Solution

The fourth proportional to 364,116.48, 546,348.06 and 164,497.92 is: 246,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,116.48 : 546,348.06 = 164,497.92 : x
  2. Step 2: Convert to fraction form
    364,116.48/546,348.06 = 164,497.92/x
  3. Step 3: Cross multiply
    364,116.48x = 546,348.06 × 164,497.92
  4. Step 4: Simplify right side
    364,116.48x = 89,873,119,466.04
  5. Step 5: Solve for x
    x = 89,873,119,466.04/364,116.48
  6. Step 6: Final answer
    x = 246,825.19

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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.