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Finding the Fourth Proportional to 547,070.20, 820,022.10 and 209,980.60

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Solution

The fourth proportional to 547,070.20, 820,022.10 and 209,980.60 is: 314,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,070.20 : 820,022.10 = 209,980.60 : x
  2. Step 2: Convert to fraction form
    547,070.20/820,022.10 = 209,980.60/x
  3. Step 3: Cross multiply
    547,070.20x = 820,022.10 × 209,980.60
  4. Step 4: Simplify right side
    547,070.20x = 172,188,732,571.26
  5. Step 5: Solve for x
    x = 172,188,732,571.26/547,070.20
  6. Step 6: Final answer
    x = 314,747.05

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1.5x scale

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.