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Finding the Fourth Proportional to 380,228.34, 524,776.26 and 216,938.16

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Solution

The fourth proportional to 380,228.34, 524,776.26 and 216,938.16 is: 299,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,228.34 : 524,776.26 = 216,938.16 : x
  2. Step 2: Convert to fraction form
    380,228.34/524,776.26 = 216,938.16/x
  3. Step 3: Cross multiply
    380,228.34x = 524,776.26 × 216,938.16
  4. Step 4: Simplify right side
    380,228.34x = 113,843,996,256.08
  5. Step 5: Solve for x
    x = 113,843,996,256.08/380,228.34
  6. Step 6: Final answer
    x = 299,409.55

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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.