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Finding the Fourth Proportional to 551,709.70, 827,564.55 and 285,551.80

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Solution

The fourth proportional to 551,709.70, 827,564.55 and 285,551.80 is: 428,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,709.70 : 827,564.55 = 285,551.80 : x
  2. Step 2: Convert to fraction form
    551,709.70/827,564.55 = 285,551.80/x
  3. Step 3: Cross multiply
    551,709.70x = 827,564.55 × 285,551.80
  4. Step 4: Simplify right side
    551,709.70x = 236,312,546,868.69
  5. Step 5: Solve for x
    x = 236,312,546,868.69/551,709.70
  6. Step 6: Final answer
    x = 428,327.70

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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.