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Finding the Fourth Proportional to 538,000.20, 807,000.30 and 328,048.20

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Solution

The fourth proportional to 538,000.20, 807,000.30 and 328,048.20 is: 492,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000.20 : 807,000.30 = 328,048.20 : x
  2. Step 2: Convert to fraction form
    538,000.20/807,000.30 = 328,048.20/x
  3. Step 3: Cross multiply
    538,000.20x = 807,000.30 × 328,048.20
  4. Step 4: Simplify right side
    538,000.20x = 264,734,995,814.46
  5. Step 5: Solve for x
    x = 264,734,995,814.46/538,000.20
  6. Step 6: Final answer
    x = 492,072.30

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Similar ratio
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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.