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Finding the Fourth Proportional to 380,047.12, 524,654.93 and 218,871.05

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Solution

The fourth proportional to 380,047.12, 524,654.93 and 218,871.05 is: 302,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,047.12 : 524,654.93 = 218,871.05 : x
  2. Step 2: Convert to fraction form
    380,047.12/524,654.93 = 218,871.05/x
  3. Step 3: Cross multiply
    380,047.12x = 524,654.93 × 218,871.05
  4. Step 4: Simplify right side
    380,047.12x = 114,831,773,340.68
  5. Step 5: Solve for x
    x = 114,831,773,340.68/380,047.12
  6. Step 6: Final answer
    x = 302,151.41

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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.