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Finding the Fourth Proportional to 406,687.50, 609,608.16 and 136,615.28

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Solution

The fourth proportional to 406,687.50, 609,608.16 and 136,615.28 is: 204,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,687.50 : 609,608.16 = 136,615.28 : x
  2. Step 2: Convert to fraction form
    406,687.50/609,608.16 = 136,615.28/x
  3. Step 3: Cross multiply
    406,687.50x = 609,608.16 × 136,615.28
  4. Step 4: Simplify right side
    406,687.50x = 83,281,786,420.64
  5. Step 5: Solve for x
    x = 83,281,786,420.64/406,687.50
  6. Step 6: Final answer
    x = 204,780.79

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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.