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Finding the Fourth Proportional to 325,654.96, 449,397.16 and 180,459.52

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Solution

The fourth proportional to 325,654.96, 449,397.16 and 180,459.52 is: 249,030.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,654.96 : 449,397.16 = 180,459.52 : x
  2. Step 2: Convert to fraction form
    325,654.96/449,397.16 = 180,459.52/x
  3. Step 3: Cross multiply
    325,654.96x = 449,397.16 × 180,459.52
  4. Step 4: Simplify right side
    325,654.96x = 81,097,995,782.96
  5. Step 5: Solve for x
    x = 81,097,995,782.96/325,654.96
  6. Step 6: Final answer
    x = 249,030.43

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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.