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Finding the Fourth Proportional to 523,660.56, 785,552.34 and 186,749.10

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Solution

The fourth proportional to 523,660.56, 785,552.34 and 186,749.10 is: 280,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,660.56 : 785,552.34 = 186,749.10 : x
  2. Step 2: Convert to fraction form
    523,660.56/785,552.34 = 186,749.10/x
  3. Step 3: Cross multiply
    523,660.56x = 785,552.34 × 186,749.10
  4. Step 4: Simplify right side
    523,660.56x = 146,701,192,497.89
  5. Step 5: Solve for x
    x = 146,701,192,497.89/523,660.56
  6. Step 6: Final answer
    x = 280,145.58

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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.