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Finding the Fourth Proportional to 527,017.65, 727,284.21 and 285,300.05

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Solution

The fourth proportional to 527,017.65, 727,284.21 and 285,300.05 is: 393,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,017.65 : 727,284.21 = 285,300.05 : x
  2. Step 2: Convert to fraction form
    527,017.65/727,284.21 = 285,300.05/x
  3. Step 3: Cross multiply
    527,017.65x = 727,284.21 × 285,300.05
  4. Step 4: Simplify right side
    527,017.65x = 207,494,216,770.91
  5. Step 5: Solve for x
    x = 207,494,216,770.91/527,017.65
  6. Step 6: Final answer
    x = 393,713.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.