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Finding the Fourth Proportional to 510,644.91, 704,677.26 and 281,200.38

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Solution

The fourth proportional to 510,644.91, 704,677.26 and 281,200.38 is: 388,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,644.91 : 704,677.26 = 281,200.38 : x
  2. Step 2: Convert to fraction form
    510,644.91/704,677.26 = 281,200.38/x
  3. Step 3: Cross multiply
    510,644.91x = 704,677.26 × 281,200.38
  4. Step 4: Simplify right side
    510,644.91x = 198,155,513,289.36
  5. Step 5: Solve for x
    x = 198,155,513,289.36/510,644.91
  6. Step 6: Final answer
    x = 388,049.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.