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Finding the Fourth Proportional to 380,376.88, 524,920.95 and 208,306.10

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Solution

The fourth proportional to 380,376.88, 524,920.95 and 208,306.10 is: 287,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,376.88 : 524,920.95 = 208,306.10 : x
  2. Step 2: Convert to fraction form
    380,376.88/524,920.95 = 208,306.10/x
  3. Step 3: Cross multiply
    380,376.88x = 524,920.95 × 208,306.10
  4. Step 4: Simplify right side
    380,376.88x = 109,344,237,215.10
  5. Step 5: Solve for x
    x = 109,344,237,215.10/380,376.88
  6. Step 6: Final answer
    x = 287,462.89

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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.