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Finding the Fourth Proportional to 465,490.17, 642,376.98 and 264,286.17

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Solution

The fourth proportional to 465,490.17, 642,376.98 and 264,286.17 is: 364,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,490.17 : 642,376.98 = 264,286.17 : x
  2. Step 2: Convert to fraction form
    465,490.17/642,376.98 = 264,286.17/x
  3. Step 3: Cross multiply
    465,490.17x = 642,376.98 × 264,286.17
  4. Step 4: Simplify right side
    465,490.17x = 169,771,351,740.37
  5. Step 5: Solve for x
    x = 169,771,351,740.37/465,490.17
  6. Step 6: Final answer
    x = 364,715.22

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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.