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Finding the Fourth Proportional to 406,495.53, 609,523.38 and 322,794.18

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Solution

The fourth proportional to 406,495.53, 609,523.38 and 322,794.18 is: 484,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,495.53 : 609,523.38 = 322,794.18 : x
  2. Step 2: Convert to fraction form
    406,495.53/609,523.38 = 322,794.18/x
  3. Step 3: Cross multiply
    406,495.53x = 609,523.38 × 322,794.18
  4. Step 4: Simplify right side
    406,495.53x = 196,750,599,637.93
  5. Step 5: Solve for x
    x = 196,750,599,637.93/406,495.53
  6. Step 6: Final answer
    x = 484,016.64

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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.