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Finding the Fourth Proportional to 408,165.48, 611,825.40 and 295,564.14

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Solution

The fourth proportional to 408,165.48, 611,825.40 and 295,564.14 is: 443,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,165.48 : 611,825.40 = 295,564.14 : x
  2. Step 2: Convert to fraction form
    408,165.48/611,825.40 = 295,564.14/x
  3. Step 3: Cross multiply
    408,165.48x = 611,825.40 × 295,564.14
  4. Step 4: Simplify right side
    408,165.48x = 180,833,648,181.16
  5. Step 5: Solve for x
    x = 180,833,648,181.16/408,165.48
  6. Step 6: Final answer
    x = 443,040.03

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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.