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Finding the Fourth Proportional to 323,802.56, 446,865.32 and 180,562.43

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Solution

The fourth proportional to 323,802.56, 446,865.32 and 180,562.43 is: 249,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,802.56 : 446,865.32 = 180,562.43 : x
  2. Step 2: Convert to fraction form
    323,802.56/446,865.32 = 180,562.43/x
  3. Step 3: Cross multiply
    323,802.56x = 446,865.32 × 180,562.43
  4. Step 4: Simplify right side
    323,802.56x = 80,687,088,061.93
  5. Step 5: Solve for x
    x = 80,687,088,061.93/323,802.56
  6. Step 6: Final answer
    x = 249,186.07

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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.