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Finding the Fourth Proportional to 452,044.62, 678,170.49 and 195,920.16

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Solution

The fourth proportional to 452,044.62, 678,170.49 and 195,920.16 is: 293,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,044.62 : 678,170.49 = 195,920.16 : x
  2. Step 2: Convert to fraction form
    452,044.62/678,170.49 = 195,920.16/x
  3. Step 3: Cross multiply
    452,044.62x = 678,170.49 × 195,920.16
  4. Step 4: Simplify right side
    452,044.62x = 132,867,270,908.08
  5. Step 5: Solve for x
    x = 132,867,270,908.08/452,044.62
  6. Step 6: Final answer
    x = 293,925.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.