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Finding the Fourth Proportional to 577,257.60, 865,303.20 and 261,940.80

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Solution

The fourth proportional to 577,257.60, 865,303.20 and 261,940.80 is: 392,646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,257.60 : 865,303.20 = 261,940.80 : x
  2. Step 2: Convert to fraction form
    577,257.60/865,303.20 = 261,940.80/x
  3. Step 3: Cross multiply
    577,257.60x = 865,303.20 × 261,940.80
  4. Step 4: Simplify right side
    577,257.60x = 226,658,212,450.56
  5. Step 5: Solve for x
    x = 226,658,212,450.56/577,257.60
  6. Step 6: Final answer
    x = 392,646.56

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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.