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Finding the Fourth Proportional to 411,914.25, 568,450.31 and 233,066.25

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Solution

The fourth proportional to 411,914.25, 568,450.31 and 233,066.25 is: 321,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,914.25 : 568,450.31 = 233,066.25 : x
  2. Step 2: Convert to fraction form
    411,914.25/568,450.31 = 233,066.25/x
  3. Step 3: Cross multiply
    411,914.25x = 568,450.31 × 233,066.25
  4. Step 4: Simplify right side
    411,914.25x = 132,486,580,897.71
  5. Step 5: Solve for x
    x = 132,486,580,897.71/411,914.25
  6. Step 6: Final answer
    x = 321,636.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.