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Finding the Fourth Proportional to 364,522.25, 546,783.38 and 115,184.81

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Solution

The fourth proportional to 364,522.25, 546,783.38 and 115,184.81 is: 172,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,522.25 : 546,783.38 = 115,184.81 : x
  2. Step 2: Convert to fraction form
    364,522.25/546,783.38 = 115,184.81/x
  3. Step 3: Cross multiply
    364,522.25x = 546,783.38 × 115,184.81
  4. Step 4: Simplify right side
    364,522.25x = 62,981,140,959.44
  5. Step 5: Solve for x
    x = 62,981,140,959.44/364,522.25
  6. Step 6: Final answer
    x = 172,777.22

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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.