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Finding the Fourth Proportional to 511,251.34, 706,200.72 and 381,965.13

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Solution

The fourth proportional to 511,251.34, 706,200.72 and 381,965.13 is: 527,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,251.34 : 706,200.72 = 381,965.13 : x
  2. Step 2: Convert to fraction form
    511,251.34/706,200.72 = 381,965.13/x
  3. Step 3: Cross multiply
    511,251.34x = 706,200.72 × 381,965.13
  4. Step 4: Simplify right side
    511,251.34x = 269,744,049,820.89
  5. Step 5: Solve for x
    x = 269,744,049,820.89/511,251.34
  6. Step 6: Final answer
    x = 527,615.34

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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.