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Finding the Fourth Proportional to 380,201.42, 524,549.84 and 219,052.46

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Solution

The fourth proportional to 380,201.42, 524,549.84 and 219,052.46 is: 302,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,201.42 : 524,549.84 = 219,052.46 : x
  2. Step 2: Convert to fraction form
    380,201.42/524,549.84 = 219,052.46/x
  3. Step 3: Cross multiply
    380,201.42x = 524,549.84 × 219,052.46
  4. Step 4: Simplify right side
    380,201.42x = 114,903,934,703.61
  5. Step 5: Solve for x
    x = 114,903,934,703.61/380,201.42
  6. Step 6: Final answer
    x = 302,218.58

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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.