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Finding the Fourth Proportional to 394,111.22, 543,678.63 and 232,888.28

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Solution

The fourth proportional to 394,111.22, 543,678.63 and 232,888.28 is: 321,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,111.22 : 543,678.63 = 232,888.28 : x
  2. Step 2: Convert to fraction form
    394,111.22/543,678.63 = 232,888.28/x
  3. Step 3: Cross multiply
    394,111.22x = 543,678.63 × 232,888.28
  4. Step 4: Simplify right side
    394,111.22x = 126,616,381,013.46
  5. Step 5: Solve for x
    x = 126,616,381,013.46/394,111.22
  6. Step 6: Final answer
    x = 321,270.68

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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.