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Finding the Fourth Proportional to 364,023.60, 546,035.40 and 231,491.40

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Solution

The fourth proportional to 364,023.60, 546,035.40 and 231,491.40 is: 347,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,023.60 : 546,035.40 = 231,491.40 : x
  2. Step 2: Convert to fraction form
    364,023.60/546,035.40 = 231,491.40/x
  3. Step 3: Cross multiply
    364,023.60x = 546,035.40 × 231,491.40
  4. Step 4: Simplify right side
    364,023.60x = 126,402,499,195.56
  5. Step 5: Solve for x
    x = 126,402,499,195.56/364,023.60
  6. Step 6: Final answer
    x = 347,237.10

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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.