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Finding the Fourth Proportional to 380,294.88, 524,813.12 and 208,209.97

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Solution

The fourth proportional to 380,294.88, 524,813.12 and 208,209.97 is: 287,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,294.88 : 524,813.12 = 208,209.97 : x
  2. Step 2: Convert to fraction form
    380,294.88/524,813.12 = 208,209.97/x
  3. Step 3: Cross multiply
    380,294.88x = 524,813.12 × 208,209.97
  4. Step 4: Simplify right side
    380,294.88x = 109,271,323,970.81
  5. Step 5: Solve for x
    x = 109,271,323,970.81/380,294.88
  6. Step 6: Final answer
    x = 287,333.15

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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.