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Finding the Fourth Proportional to 406,568.72, 609,853.08 and 185,016.08

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Solution

The fourth proportional to 406,568.72, 609,853.08 and 185,016.08 is: 277,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,568.72 : 609,853.08 = 185,016.08 : x
  2. Step 2: Convert to fraction form
    406,568.72/609,853.08 = 185,016.08/x
  3. Step 3: Cross multiply
    406,568.72x = 609,853.08 × 185,016.08
  4. Step 4: Simplify right side
    406,568.72x = 112,832,626,237.53
  5. Step 5: Solve for x
    x = 112,832,626,237.53/406,568.72
  6. Step 6: Final answer
    x = 277,524.12

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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.