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Finding the Fourth Proportional to 326,305.69, 450,294.96 and 181,103.02

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Solution

The fourth proportional to 326,305.69, 450,294.96 and 181,103.02 is: 249,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,305.69 : 450,294.96 = 181,103.02 : x
  2. Step 2: Convert to fraction form
    326,305.69/450,294.96 = 181,103.02/x
  3. Step 3: Cross multiply
    326,305.69x = 450,294.96 × 181,103.02
  4. Step 4: Simplify right side
    326,305.69x = 81,549,777,146.78
  5. Step 5: Solve for x
    x = 81,549,777,146.78/326,305.69
  6. Step 6: Final answer
    x = 249,918.34

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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.