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Finding the Fourth Proportional to 682,158.84, 1,023,237.54 and 232,842.42

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Solution

The fourth proportional to 682,158.84, 1,023,237.54 and 232,842.42 is: 349,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,158.84 : 1,023,237.54 = 232,842.42 : x
  2. Step 2: Convert to fraction form
    682,158.84/1,023,237.54 = 232,842.42/x
  3. Step 3: Cross multiply
    682,158.84x = 1,023,237.54 × 232,842.42
  4. Step 4: Simplify right side
    682,158.84x = 238,253,105,048.45
  5. Step 5: Solve for x
    x = 238,253,105,048.45/682,158.84
  6. Step 6: Final answer
    x = 349,263.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.