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Finding the Fourth Proportional to 414,567.90, 622,005.45 and 165,428.70

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Solution

The fourth proportional to 414,567.90, 622,005.45 and 165,428.70 is: 248,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,567.90 : 622,005.45 = 165,428.70 : x
  2. Step 2: Convert to fraction form
    414,567.90/622,005.45 = 165,428.70/x
  3. Step 3: Cross multiply
    414,567.90x = 622,005.45 × 165,428.70
  4. Step 4: Simplify right side
    414,567.90x = 102,897,552,986.42
  5. Step 5: Solve for x
    x = 102,897,552,986.42/414,567.90
  6. Step 6: Final answer
    x = 248,204.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.