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Finding the Fourth Proportional to 364,256.55, 546,876.90 and 231,396.30

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Solution

The fourth proportional to 364,256.55, 546,876.90 and 231,396.30 is: 347,407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,256.55 : 546,876.90 = 231,396.30 : x
  2. Step 2: Convert to fraction form
    364,256.55/546,876.90 = 231,396.30/x
  3. Step 3: Cross multiply
    364,256.55x = 546,876.90 × 231,396.30
  4. Step 4: Simplify right side
    364,256.55x = 126,545,291,215.47
  5. Step 5: Solve for x
    x = 126,545,291,215.47/364,256.55
  6. Step 6: Final answer
    x = 347,407.04

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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.