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Finding the Fourth Proportional to 527,186.70, 727,518.03 and 285,471.18

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Solution

The fourth proportional to 527,186.70, 727,518.03 and 285,471.18 is: 393,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,186.70 : 727,518.03 = 285,471.18 : x
  2. Step 2: Convert to fraction form
    527,186.70/727,518.03 = 285,471.18/x
  3. Step 3: Cross multiply
    527,186.70x = 727,518.03 × 285,471.18
  4. Step 4: Simplify right side
    527,186.70x = 207,685,430,495.38
  5. Step 5: Solve for x
    x = 207,685,430,495.38/527,186.70
  6. Step 6: Final answer
    x = 393,950.44

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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.