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Finding the Fourth Proportional to 547,628.40, 820,559.40 and 310,265.20

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Solution

The fourth proportional to 547,628.40, 820,559.40 and 310,265.20 is: 464,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,628.40 : 820,559.40 = 310,265.20 : x
  2. Step 2: Convert to fraction form
    547,628.40/820,559.40 = 310,265.20/x
  3. Step 3: Cross multiply
    547,628.40x = 820,559.40 × 310,265.20
  4. Step 4: Simplify right side
    547,628.40x = 254,591,026,352.88
  5. Step 5: Solve for x
    x = 254,591,026,352.88/547,628.40
  6. Step 6: Final answer
    x = 464,897.41

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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.