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Finding the Fourth Proportional to 323,927.01, 447,028.74 and 180,683.96

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Solution

The fourth proportional to 323,927.01, 447,028.74 and 180,683.96 is: 249,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,927.01 : 447,028.74 = 180,683.96 : x
  2. Step 2: Convert to fraction form
    323,927.01/447,028.74 = 180,683.96/x
  3. Step 3: Cross multiply
    323,927.01x = 447,028.74 × 180,683.96
  4. Step 4: Simplify right side
    323,927.01x = 80,770,920,741.87
  5. Step 5: Solve for x
    x = 80,770,920,741.87/323,927.01
  6. Step 6: Final answer
    x = 249,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.