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Finding the Fourth Proportional to 523,560.92, 785,147.40 and 186,512

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Solution

The fourth proportional to 523,560.92, 785,147.40 and 186,512 is: 279,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,560.92 : 785,147.40 = 186,512 : x
  2. Step 2: Convert to fraction form
    523,560.92/785,147.40 = 186,512/x
  3. Step 3: Cross multiply
    523,560.92x = 785,147.40 × 186,512
  4. Step 4: Simplify right side
    523,560.92x = 146,439,411,868.80
  5. Step 5: Solve for x
    x = 146,439,411,868.80/523,560.92
  6. Step 6: Final answer
    x = 279,698.90

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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.