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Finding the Fourth Proportional to 298,066.52, 411,329.76 and 169,029.38

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Solution

The fourth proportional to 298,066.52, 411,329.76 and 169,029.38 is: 233,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,066.52 : 411,329.76 = 169,029.38 : x
  2. Step 2: Convert to fraction form
    298,066.52/411,329.76 = 169,029.38/x
  3. Step 3: Cross multiply
    298,066.52x = 411,329.76 × 169,029.38
  4. Step 4: Simplify right side
    298,066.52x = 69,526,814,308.35
  5. Step 5: Solve for x
    x = 69,526,814,308.35/298,066.52
  6. Step 6: Final answer
    x = 233,259.39

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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.