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Finding the Fourth Proportional to 527,313.46, 727,688.94 and 285,590.50

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Solution

The fourth proportional to 527,313.46, 727,688.94 and 285,590.50 is: 394,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,313.46 : 727,688.94 = 285,590.50 : x
  2. Step 2: Convert to fraction form
    527,313.46/727,688.94 = 285,590.50/x
  3. Step 3: Cross multiply
    527,313.46x = 727,688.94 × 285,590.50
  4. Step 4: Simplify right side
    527,313.46x = 207,821,048,219.07
  5. Step 5: Solve for x
    x = 207,821,048,219.07/527,313.46
  6. Step 6: Final answer
    x = 394,112.92

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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.