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Finding the Fourth Proportional to 607,825.56, 911,703.78 and 164,559

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Solution

The fourth proportional to 607,825.56, 911,703.78 and 164,559 is: 246,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,825.56 : 911,703.78 = 164,559 : x
  2. Step 2: Convert to fraction form
    607,825.56/911,703.78 = 164,559/x
  3. Step 3: Cross multiply
    607,825.56x = 911,703.78 × 164,559
  4. Step 4: Simplify right side
    607,825.56x = 150,029,062,333.02
  5. Step 5: Solve for x
    x = 150,029,062,333.02/607,825.56
  6. Step 6: Final answer
    x = 246,829.14

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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.