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Finding the Fourth Proportional to 323,903.51, 446,985.68 and 180,663.44

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Solution

The fourth proportional to 323,903.51, 446,985.68 and 180,663.44 is: 249,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,903.51 : 446,985.68 = 180,663.44 : x
  2. Step 2: Convert to fraction form
    323,903.51/446,985.68 = 180,663.44/x
  3. Step 3: Cross multiply
    323,903.51x = 446,985.68 × 180,663.44
  4. Step 4: Simplify right side
    323,903.51x = 80,753,967,441.29
  5. Step 5: Solve for x
    x = 80,753,967,441.29/323,903.51
  6. Step 6: Final answer
    x = 249,314.89

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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.