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Finding the Fourth Proportional to 510,753.42, 704,833.09 and 281,306.34

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Solution

The fourth proportional to 510,753.42, 704,833.09 and 281,306.34 is: 388,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,753.42 : 704,833.09 = 281,306.34 : x
  2. Step 2: Convert to fraction form
    510,753.42/704,833.09 = 281,306.34/x
  3. Step 3: Cross multiply
    510,753.42x = 704,833.09 × 281,306.34
  4. Step 4: Simplify right side
    510,753.42x = 198,274,016,858.79
  5. Step 5: Solve for x
    x = 198,274,016,858.79/510,753.42
  6. Step 6: Final answer
    x = 388,199.10

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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.