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Finding the Fourth Proportional to 380,609.84, 525,233.54 and 208,519.42

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Solution

The fourth proportional to 380,609.84, 525,233.54 and 208,519.42 is: 287,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,609.84 : 525,233.54 = 208,519.42 : x
  2. Step 2: Convert to fraction form
    380,609.84/525,233.54 = 208,519.42/x
  3. Step 3: Cross multiply
    380,609.84x = 525,233.54 × 208,519.42
  4. Step 4: Simplify right side
    380,609.84x = 109,521,393,125.35
  5. Step 5: Solve for x
    x = 109,521,393,125.35/380,609.84
  6. Step 6: Final answer
    x = 287,752.40

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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.