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Finding the Fourth Proportional to 271,973.20, 407,959.80 and 209,765.20

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Solution

The fourth proportional to 271,973.20, 407,959.80 and 209,765.20 is: 314,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,973.20 : 407,959.80 = 209,765.20 : x
  2. Step 2: Convert to fraction form
    271,973.20/407,959.80 = 209,765.20/x
  3. Step 3: Cross multiply
    271,973.20x = 407,959.80 × 209,765.20
  4. Step 4: Simplify right side
    271,973.20x = 85,575,769,038.96
  5. Step 5: Solve for x
    x = 85,575,769,038.96/271,973.20
  6. Step 6: Final answer
    x = 314,647.80

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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.