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Finding the Fourth Proportional to 385,020.76, 531,313.32 and 212,927.56

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Solution

The fourth proportional to 385,020.76, 531,313.32 and 212,927.56 is: 293,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,020.76 : 531,313.32 = 212,927.56 : x
  2. Step 2: Convert to fraction form
    385,020.76/531,313.32 = 212,927.56/x
  3. Step 3: Cross multiply
    385,020.76x = 531,313.32 × 212,927.56
  4. Step 4: Simplify right side
    385,020.76x = 113,131,248,823.10
  5. Step 5: Solve for x
    x = 113,131,248,823.10/385,020.76
  6. Step 6: Final answer
    x = 293,831.56

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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.