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Finding the Fourth Proportional to 380,119.46, 524,558.14 and 218,974

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Solution

The fourth proportional to 380,119.46, 524,558.14 and 218,974 is: 302,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,119.46 : 524,558.14 = 218,974 : x
  2. Step 2: Convert to fraction form
    380,119.46/524,558.14 = 218,974/x
  3. Step 3: Cross multiply
    380,119.46x = 524,558.14 × 218,974
  4. Step 4: Simplify right side
    380,119.46x = 114,864,594,148.36
  5. Step 5: Solve for x
    x = 114,864,594,148.36/380,119.46
  6. Step 6: Final answer
    x = 302,180.25

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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.