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Finding the Fourth Proportional to 406,546.24, 609,709.20 and 169,839.40

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Solution

The fourth proportional to 406,546.24, 609,709.20 and 169,839.40 is: 254,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,546.24 : 609,709.20 = 169,839.40 : x
  2. Step 2: Convert to fraction form
    406,546.24/609,709.20 = 169,839.40/x
  3. Step 3: Cross multiply
    406,546.24x = 609,709.20 × 169,839.40
  4. Step 4: Simplify right side
    406,546.24x = 103,552,644,702.48
  5. Step 5: Solve for x
    x = 103,552,644,702.48/406,546.24
  6. Step 6: Final answer
    x = 254,713.08

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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.