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Finding the Fourth Proportional to 206,431.20, 309,646.80 and 174,938.40

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Solution

The fourth proportional to 206,431.20, 309,646.80 and 174,938.40 is: 262,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,431.20 : 309,646.80 = 174,938.40 : x
  2. Step 2: Convert to fraction form
    206,431.20/309,646.80 = 174,938.40/x
  3. Step 3: Cross multiply
    206,431.20x = 309,646.80 × 174,938.40
  4. Step 4: Simplify right side
    206,431.20x = 54,169,115,757.12
  5. Step 5: Solve for x
    x = 54,169,115,757.12/206,431.20
  6. Step 6: Final answer
    x = 262,407.60

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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.