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Finding the Fourth Proportional to 547,903.40, 821,466.30 and 210,813.80

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Solution

The fourth proportional to 547,903.40, 821,466.30 and 210,813.80 is: 316,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,903.40 : 821,466.30 = 210,813.80 : x
  2. Step 2: Convert to fraction form
    547,903.40/821,466.30 = 210,813.80/x
  3. Step 3: Cross multiply
    547,903.40x = 821,466.30 × 210,813.80
  4. Step 4: Simplify right side
    547,903.40x = 173,176,432,274.94
  5. Step 5: Solve for x
    x = 173,176,432,274.94/547,903.40
  6. Step 6: Final answer
    x = 316,071.10

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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.