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Finding the Fourth Proportional to 345,637.43, 476,746.26 and 300,236.32

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Solution

The fourth proportional to 345,637.43, 476,746.26 and 300,236.32 is: 414,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,637.43 : 476,746.26 = 300,236.32 : x
  2. Step 2: Convert to fraction form
    345,637.43/476,746.26 = 300,236.32/x
  3. Step 3: Cross multiply
    345,637.43x = 476,746.26 × 300,236.32
  4. Step 4: Simplify right side
    345,637.43x = 143,136,542,146.21
  5. Step 5: Solve for x
    x = 143,136,542,146.21/345,637.43
  6. Step 6: Final answer
    x = 414,123.39

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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.