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Finding the Fourth Proportional to 333,176.49, 459,787.32 and 180,217.71

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Solution

The fourth proportional to 333,176.49, 459,787.32 and 180,217.71 is: 248,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,176.49 : 459,787.32 = 180,217.71 : x
  2. Step 2: Convert to fraction form
    333,176.49/459,787.32 = 180,217.71/x
  3. Step 3: Cross multiply
    333,176.49x = 459,787.32 × 180,217.71
  4. Step 4: Simplify right side
    333,176.49x = 82,861,817,897.44
  5. Step 5: Solve for x
    x = 82,861,817,897.44/333,176.49
  6. Step 6: Final answer
    x = 248,702.48

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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.