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Finding the Fourth Proportional to 401,321.86, 601,503.01 and 305,810.11

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Solution

The fourth proportional to 401,321.86, 601,503.01 and 305,810.11 is: 458,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,321.86 : 601,503.01 = 305,810.11 : x
  2. Step 2: Convert to fraction form
    401,321.86/601,503.01 = 305,810.11/x
  3. Step 3: Cross multiply
    401,321.86x = 601,503.01 × 305,810.11
  4. Step 4: Simplify right side
    401,321.86x = 183,945,701,653.43
  5. Step 5: Solve for x
    x = 183,945,701,653.43/401,321.86
  6. Step 6: Final answer
    x = 458,349.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.