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Finding the Fourth Proportional to 380,740.94, 525,355.83 and 217,322.81

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Solution

The fourth proportional to 380,740.94, 525,355.83 and 217,322.81 is: 299,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,740.94 : 525,355.83 = 217,322.81 : x
  2. Step 2: Convert to fraction form
    380,740.94/525,355.83 = 217,322.81/x
  3. Step 3: Cross multiply
    380,740.94x = 525,355.83 × 217,322.81
  4. Step 4: Simplify right side
    380,740.94x = 114,171,802,598.70
  5. Step 5: Solve for x
    x = 114,171,802,598.70/380,740.94
  6. Step 6: Final answer
    x = 299,867.42

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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.