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Finding the Fourth Proportional to 230,418.09, 345,685.47 and 64,206.09

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Solution

The fourth proportional to 230,418.09, 345,685.47 and 64,206.09 is: 96,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,418.09 : 345,685.47 = 64,206.09 : x
  2. Step 2: Convert to fraction form
    230,418.09/345,685.47 = 64,206.09/x
  3. Step 3: Cross multiply
    230,418.09x = 345,685.47 × 64,206.09
  4. Step 4: Simplify right side
    230,418.09x = 22,195,112,398.51
  5. Step 5: Solve for x
    x = 22,195,112,398.51/230,418.09
  6. Step 6: Final answer
    x = 96,325.39

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1.5x scale

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.