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Finding the Fourth Proportional to 271,430.40, 407,145.60 and 204,070.80

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Solution

The fourth proportional to 271,430.40, 407,145.60 and 204,070.80 is: 306,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,430.40 : 407,145.60 = 204,070.80 : x
  2. Step 2: Convert to fraction form
    271,430.40/407,145.60 = 204,070.80/x
  3. Step 3: Cross multiply
    271,430.40x = 407,145.60 × 204,070.80
  4. Step 4: Simplify right side
    271,430.40x = 83,086,528,308.48
  5. Step 5: Solve for x
    x = 83,086,528,308.48/271,430.40
  6. Step 6: Final answer
    x = 306,106.20

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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.