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Finding the Fourth Proportional to 380,182.36, 524,710.56 and 216,839.20

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Solution

The fourth proportional to 380,182.36, 524,710.56 and 216,839.20 is: 299,271.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,182.36 : 524,710.56 = 216,839.20 : x
  2. Step 2: Convert to fraction form
    380,182.36/524,710.56 = 216,839.20/x
  3. Step 3: Cross multiply
    380,182.36x = 524,710.56 × 216,839.20
  4. Step 4: Simplify right side
    380,182.36x = 113,777,818,061.95
  5. Step 5: Solve for x
    x = 113,777,818,061.95/380,182.36
  6. Step 6: Final answer
    x = 299,271.69

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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.