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Finding the Fourth Proportional to 587,644.88, 811,123.23 and 383,727.50

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Solution

The fourth proportional to 587,644.88, 811,123.23 and 383,727.50 is: 529,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,644.88 : 811,123.23 = 383,727.50 : x
  2. Step 2: Convert to fraction form
    587,644.88/811,123.23 = 383,727.50/x
  3. Step 3: Cross multiply
    587,644.88x = 811,123.23 × 383,727.50
  4. Step 4: Simplify right side
    587,644.88x = 311,250,289,239.83
  5. Step 5: Solve for x
    x = 311,250,289,239.83/587,644.88
  6. Step 6: Final answer
    x = 529,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.