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Finding the Fourth Proportional to 511,129.22, 705,363.15 and 281,694.78

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Solution

The fourth proportional to 511,129.22, 705,363.15 and 281,694.78 is: 388,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,129.22 : 705,363.15 = 281,694.78 : x
  2. Step 2: Convert to fraction form
    511,129.22/705,363.15 = 281,694.78/x
  3. Step 3: Cross multiply
    511,129.22x = 705,363.15 × 281,694.78
  4. Step 4: Simplify right side
    511,129.22x = 198,697,115,950.88
  5. Step 5: Solve for x
    x = 198,697,115,950.88/511,129.22
  6. Step 6: Final answer
    x = 388,741.45

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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.