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Finding the Fourth Proportional to 465,822, 642,834.36 and 253,854

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Solution

The fourth proportional to 465,822, 642,834.36 and 253,854 is: 350,318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,822 : 642,834.36 = 253,854 : x
  2. Step 2: Convert to fraction form
    465,822/642,834.36 = 253,854/x
  3. Step 3: Cross multiply
    465,822x = 642,834.36 × 253,854
  4. Step 4: Simplify right side
    465,822x = 163,186,073,623.44
  5. Step 5: Solve for x
    x = 163,186,073,623.44/465,822
  6. Step 6: Final answer
    x = 350,318.52

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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.