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Finding the Fourth Proportional to 413,546.40, 620,173.80 and 189,014.40

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Solution

The fourth proportional to 413,546.40, 620,173.80 and 189,014.40 is: 283,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,546.40 : 620,173.80 = 189,014.40 : x
  2. Step 2: Convert to fraction form
    413,546.40/620,173.80 = 189,014.40/x
  3. Step 3: Cross multiply
    413,546.40x = 620,173.80 × 189,014.40
  4. Step 4: Simplify right side
    413,546.40x = 117,221,778,702.72
  5. Step 5: Solve for x
    x = 117,221,778,702.72/413,546.40
  6. Step 6: Final answer
    x = 283,454.96

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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.