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Finding the Fourth Proportional to 527,019.84, 727,281.34 and 285,297.11

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Solution

The fourth proportional to 527,019.84, 727,281.34 and 285,297.11 is: 393,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,019.84 : 727,281.34 = 285,297.11 : x
  2. Step 2: Convert to fraction form
    527,019.84/727,281.34 = 285,297.11/x
  3. Step 3: Cross multiply
    527,019.84x = 727,281.34 × 285,297.11
  4. Step 4: Simplify right side
    527,019.84x = 207,491,264,458.93
  5. Step 5: Solve for x
    x = 207,491,264,458.93/527,019.84
  6. Step 6: Final answer
    x = 393,706.74

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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.