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Finding the Fourth Proportional to 380,647.73, 525,315.88 and 208,566

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Solution

The fourth proportional to 380,647.73, 525,315.88 and 208,566 is: 287,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,647.73 : 525,315.88 = 208,566 : x
  2. Step 2: Convert to fraction form
    380,647.73/525,315.88 = 208,566/x
  3. Step 3: Cross multiply
    380,647.73x = 525,315.88 × 208,566
  4. Step 4: Simplify right side
    380,647.73x = 109,563,032,088.79
  5. Step 5: Solve for x
    x = 109,563,032,088.79/380,647.73
  6. Step 6: Final answer
    x = 287,833.14

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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.