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Finding the Fourth Proportional to 547,477.40, 820,827.30 and 210,387.80

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Solution

The fourth proportional to 547,477.40, 820,827.30 and 210,387.80 is: 315,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,477.40 : 820,827.30 = 210,387.80 : x
  2. Step 2: Convert to fraction form
    547,477.40/820,827.30 = 210,387.80/x
  3. Step 3: Cross multiply
    547,477.40x = 820,827.30 × 210,387.80
  4. Step 4: Simplify right side
    547,477.40x = 172,692,049,826.94
  5. Step 5: Solve for x
    x = 172,692,049,826.94/547,477.40
  6. Step 6: Final answer
    x = 315,432.29

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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.