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Finding the Fourth Proportional to 511,151.10, 705,391.37 and 296,418.61

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Solution

The fourth proportional to 511,151.10, 705,391.37 and 296,418.61 is: 409,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,151.10 : 705,391.37 = 296,418.61 : x
  2. Step 2: Convert to fraction form
    511,151.10/705,391.37 = 296,418.61/x
  3. Step 3: Cross multiply
    511,151.10x = 705,391.37 × 296,418.61
  4. Step 4: Simplify right side
    511,151.10x = 209,091,129,401.40
  5. Step 5: Solve for x
    x = 209,091,129,401.40/511,151.10
  6. Step 6: Final answer
    x = 409,059.34

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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.