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Finding the Fourth Proportional to 511,002.42, 705,199.34 and 293,250.94

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Solution

The fourth proportional to 511,002.42, 705,199.34 and 293,250.94 is: 404,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,002.42 : 705,199.34 = 293,250.94 : x
  2. Step 2: Convert to fraction form
    511,002.42/705,199.34 = 293,250.94/x
  3. Step 3: Cross multiply
    511,002.42x = 705,199.34 × 293,250.94
  4. Step 4: Simplify right side
    511,002.42x = 206,800,369,342.38
  5. Step 5: Solve for x
    x = 206,800,369,342.38/511,002.42
  6. Step 6: Final answer
    x = 404,695.48

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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.