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Finding the Fourth Proportional to 527,482.56, 727,926.24 and 285,766.82

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Solution

The fourth proportional to 527,482.56, 727,926.24 and 285,766.82 is: 394,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,482.56 : 727,926.24 = 285,766.82 : x
  2. Step 2: Convert to fraction form
    527,482.56/727,926.24 = 285,766.82/x
  3. Step 3: Cross multiply
    527,482.56x = 727,926.24 × 285,766.82
  4. Step 4: Simplify right side
    527,482.56x = 208,017,166,799.36
  5. Step 5: Solve for x
    x = 208,017,166,799.36/527,482.56
  6. Step 6: Final answer
    x = 394,358.38

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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.