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Finding the Fourth Proportional to 742,169.84, 1,024,194.76 and 402,638

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Solution

The fourth proportional to 742,169.84, 1,024,194.76 and 402,638 is: 555,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,169.84 : 1,024,194.76 = 402,638 : x
  2. Step 2: Convert to fraction form
    742,169.84/1,024,194.76 = 402,638/x
  3. Step 3: Cross multiply
    742,169.84x = 1,024,194.76 × 402,638
  4. Step 4: Simplify right side
    742,169.84x = 412,379,729,776.88
  5. Step 5: Solve for x
    x = 412,379,729,776.88/742,169.84
  6. Step 6: Final answer
    x = 555,640.65

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