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Finding the Fourth Proportional to 271,703.80, 407,862.90 and 209,649.40

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Solution

The fourth proportional to 271,703.80, 407,862.90 and 209,649.40 is: 314,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,703.80 : 407,862.90 = 209,649.40 : x
  2. Step 2: Convert to fraction form
    271,703.80/407,862.90 = 209,649.40/x
  3. Step 3: Cross multiply
    271,703.80x = 407,862.90 × 209,649.40
  4. Step 4: Simplify right side
    271,703.80x = 85,508,212,267.26
  5. Step 5: Solve for x
    x = 85,508,212,267.26/271,703.80
  6. Step 6: Final answer
    x = 314,711.14

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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.