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Finding the Fourth Proportional to 589,524.20, 882,404.70 and 465,108.20

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Solution

The fourth proportional to 589,524.20, 882,404.70 and 465,108.20 is: 696,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,524.20 : 882,404.70 = 465,108.20 : x
  2. Step 2: Convert to fraction form
    589,524.20/882,404.70 = 465,108.20/x
  3. Step 3: Cross multiply
    589,524.20x = 882,404.70 × 465,108.20
  4. Step 4: Simplify right side
    589,524.20x = 410,413,661,688.54
  5. Step 5: Solve for x
    x = 410,413,661,688.54/589,524.20
  6. Step 6: Final answer
    x = 696,177.80

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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.