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Finding the Fourth Proportional to 442,213.84, 610,065.97 and 288,986.10

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Solution

The fourth proportional to 442,213.84, 610,065.97 and 288,986.10 is: 398,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,213.84 : 610,065.97 = 288,986.10 : x
  2. Step 2: Convert to fraction form
    442,213.84/610,065.97 = 288,986.10/x
  3. Step 3: Cross multiply
    442,213.84x = 610,065.97 × 288,986.10
  4. Step 4: Simplify right side
    442,213.84x = 176,300,585,413.02
  5. Step 5: Solve for x
    x = 176,300,585,413.02/442,213.84
  6. Step 6: Final answer
    x = 398,677.22

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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.