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Finding the Fourth Proportional to 551,999.80, 827,999.70 and 384,038.20

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Solution

The fourth proportional to 551,999.80, 827,999.70 and 384,038.20 is: 576,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,999.80 : 827,999.70 = 384,038.20 : x
  2. Step 2: Convert to fraction form
    551,999.80/827,999.70 = 384,038.20/x
  3. Step 3: Cross multiply
    551,999.80x = 827,999.70 × 384,038.20
  4. Step 4: Simplify right side
    551,999.80x = 317,983,514,388.54
  5. Step 5: Solve for x
    x = 317,983,514,388.54/551,999.80
  6. Step 6: Final answer
    x = 576,057.30

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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.