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Finding the Fourth Proportional to 546,857.40, 820,286.10 and 172,880.40

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Solution

The fourth proportional to 546,857.40, 820,286.10 and 172,880.40 is: 259,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,857.40 : 820,286.10 = 172,880.40 : x
  2. Step 2: Convert to fraction form
    546,857.40/820,286.10 = 172,880.40/x
  3. Step 3: Cross multiply
    546,857.40x = 820,286.10 × 172,880.40
  4. Step 4: Simplify right side
    546,857.40x = 141,811,389,082.44
  5. Step 5: Solve for x
    x = 141,811,389,082.44/546,857.40
  6. Step 6: Final answer
    x = 259,320.60

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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.