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Finding the Fourth Proportional to 527,351.96, 727,741.32 and 285,628.88

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Solution

The fourth proportional to 527,351.96, 727,741.32 and 285,628.88 is: 394,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,351.96 : 727,741.32 = 285,628.88 : x
  2. Step 2: Convert to fraction form
    527,351.96/727,741.32 = 285,628.88/x
  3. Step 3: Cross multiply
    527,351.96x = 727,741.32 × 285,628.88
  4. Step 4: Simplify right side
    527,351.96x = 207,863,938,161.32
  5. Step 5: Solve for x
    x = 207,863,938,161.32/527,351.96
  6. Step 6: Final answer
    x = 394,165.48

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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.