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Finding the Fourth Proportional to 323,966.83, 447,072.96 and 180,726.76

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Solution

The fourth proportional to 323,966.83, 447,072.96 and 180,726.76 is: 249,402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,966.83 : 447,072.96 = 180,726.76 : x
  2. Step 2: Convert to fraction form
    323,966.83/447,072.96 = 180,726.76/x
  3. Step 3: Cross multiply
    323,966.83x = 447,072.96 × 180,726.76
  4. Step 4: Simplify right side
    323,966.83x = 80,798,047,544.41
  5. Step 5: Solve for x
    x = 80,798,047,544.41/323,966.83
  6. Step 6: Final answer
    x = 249,402.22

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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.