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Finding the Fourth Proportional to 380,278.64, 524,813.67 and 216,938.74

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Solution

The fourth proportional to 380,278.64, 524,813.67 and 216,938.74 is: 299,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,278.64 : 524,813.67 = 216,938.74 : x
  2. Step 2: Convert to fraction form
    380,278.64/524,813.67 = 216,938.74/x
  3. Step 3: Cross multiply
    380,278.64x = 524,813.67 × 216,938.74
  4. Step 4: Simplify right side
    380,278.64x = 113,852,418,062.75
  5. Step 5: Solve for x
    x = 113,852,418,062.75/380,278.64
  6. Step 6: Final answer
    x = 299,392.09

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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.