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Finding the Fourth Proportional to 547,014.80, 820,165.80 and 491,027.60

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Solution

The fourth proportional to 547,014.80, 820,165.80 and 491,027.60 is: 736,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,014.80 : 820,165.80 = 491,027.60 : x
  2. Step 2: Convert to fraction form
    547,014.80/820,165.80 = 491,027.60/x
  3. Step 3: Cross multiply
    547,014.80x = 820,165.80 × 491,027.60
  4. Step 4: Simplify right side
    547,014.80x = 402,724,044,376.08
  5. Step 5: Solve for x
    x = 402,724,044,376.08/547,014.80
  6. Step 6: Final answer
    x = 736,221.48

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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.