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Finding the Fourth Proportional to 527,051.21, 727,334.39 and 285,334.40

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Solution

The fourth proportional to 527,051.21, 727,334.39 and 285,334.40 is: 393,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,051.21 : 727,334.39 = 285,334.40 : x
  2. Step 2: Convert to fraction form
    527,051.21/727,334.39 = 285,334.40/x
  3. Step 3: Cross multiply
    527,051.21x = 727,334.39 × 285,334.40
  4. Step 4: Simplify right side
    527,051.21x = 207,533,518,605.43
  5. Step 5: Solve for x
    x = 207,533,518,605.43/527,051.21
  6. Step 6: Final answer
    x = 393,763.48

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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.