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Finding the Fourth Proportional to 365,489.28, 546,905.36 and 301,716.40

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Solution

The fourth proportional to 365,489.28, 546,905.36 and 301,716.40 is: 451,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,489.28 : 546,905.36 = 301,716.40 : x
  2. Step 2: Convert to fraction form
    365,489.28/546,905.36 = 301,716.40/x
  3. Step 3: Cross multiply
    365,489.28x = 546,905.36 × 301,716.40
  4. Step 4: Simplify right side
    365,489.28x = 165,010,316,359.90
  5. Step 5: Solve for x
    x = 165,010,316,359.90/365,489.28
  6. Step 6: Final answer
    x = 451,477.86

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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.