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Finding the Fourth Proportional to 713,951.89, 1,070,910.25 and 174,211.92

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Solution

The fourth proportional to 713,951.89, 1,070,910.25 and 174,211.92 is: 261,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,951.89 : 1,070,910.25 = 174,211.92 : x
  2. Step 2: Convert to fraction form
    713,951.89/1,070,910.25 = 174,211.92/x
  3. Step 3: Cross multiply
    713,951.89x = 1,070,910.25 × 174,211.92
  4. Step 4: Simplify right side
    713,951.89x = 186,565,330,364.65
  5. Step 5: Solve for x
    x = 186,565,330,364.65/713,951.89
  6. Step 6: Final answer
    x = 261,313.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.