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Finding the Fourth Proportional to 406,575.56, 609,744.74 and 136,673.19

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Solution

The fourth proportional to 406,575.56, 609,744.74 and 136,673.19 is: 204,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,575.56 : 609,744.74 = 136,673.19 : x
  2. Step 2: Convert to fraction form
    406,575.56/609,744.74 = 136,673.19/x
  3. Step 3: Cross multiply
    406,575.56x = 609,744.74 × 136,673.19
  4. Step 4: Simplify right side
    406,575.56x = 83,335,759,156.54
  5. Step 5: Solve for x
    x = 83,335,759,156.54/406,575.56
  6. Step 6: Final answer
    x = 204,969.92

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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.