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Finding the Fourth Proportional to 567,725.94, 851,638.11 and 207,994.50

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Solution

The fourth proportional to 567,725.94, 851,638.11 and 207,994.50 is: 312,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,725.94 : 851,638.11 = 207,994.50 : x
  2. Step 2: Convert to fraction form
    567,725.94/851,638.11 = 207,994.50/x
  3. Step 3: Cross multiply
    567,725.94x = 851,638.11 × 207,994.50
  4. Step 4: Simplify right side
    567,725.94x = 177,136,042,870.40
  5. Step 5: Solve for x
    x = 177,136,042,870.40/567,725.94
  6. Step 6: Final answer
    x = 312,009.78

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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.